Optical solitons and modulation instability analysis of an integrable model of (2+1)-Dimensional Heisenberg ferromagnetic spin chain equation
This paper addresses the nonlinear Schrödinger type equation (NLSE) in (2+1)-dimensions which describes the nonlinear spin dynamics of Heisenberg ferromagnetic spin chains (HFSC) with anisotropic and bilinear interactions in the semiclassical limit. Two integration schemes are employed to study the...
Saved in:
| Published in | Superlattices and microstructures Vol. 112; pp. 628 - 638 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.12.2017
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | This paper addresses the nonlinear Schrödinger type equation (NLSE) in (2+1)-dimensions which describes the nonlinear spin dynamics of Heisenberg ferromagnetic spin chains (HFSC) with anisotropic and bilinear interactions in the semiclassical limit. Two integration schemes are employed to study the equation. These are the complex envelope function ansatz and the generalized tanh methods. Dark, dark-bright or combined optical and singular soliton solutions of the equation are derived. Furthermore, the modulational instability (MI) is studied based on the standard linear-stability analysis and the MI gain is got. Numerical simulation of the obtained results are analyzed with interesting figures showing the physical meaning of the solutions.
•The non-linear Shrödinger type equation in (2+1)-dimensions is studied.•The complex envelope function ansatz and the generalized tanh methods are used.•The modulational instability is analyzed based on the standard linear-stability analysis. |
|---|---|
| AbstractList | This paper addresses the nonlinear Schrödinger type equation (NLSE) in (2+1)-dimensions which describes the nonlinear spin dynamics of Heisenberg ferromagnetic spin chains (HFSC) with anisotropic and bilinear interactions in the semiclassical limit. Two integration schemes are employed to study the equation. These are the complex envelope function ansatz and the generalized tanh methods. Dark, dark-bright or combined optical and singular soliton solutions of the equation are derived. Furthermore, the modulational instability (MI) is studied based on the standard linear-stability analysis and the MI gain is got. Numerical simulation of the obtained results are analyzed with interesting figures showing the physical meaning of the solutions.
•The non-linear Shrödinger type equation in (2+1)-dimensions is studied.•The complex envelope function ansatz and the generalized tanh methods are used.•The modulational instability is analyzed based on the standard linear-stability analysis. |
| Author | Baleanu, Dumitru Inc, Mustafa Aliyu, Aliyu Isa Yusuf, Abdullahi |
| Author_xml | – sequence: 1 givenname: Mustafa orcidid: 0000-0003-4996-8373 surname: Inc fullname: Inc, Mustafa email: minc@firat.edu.tr organization: Firat University, Science Faculty, Department of Mathematics, 23119 Elazig, Turkey – sequence: 2 givenname: Aliyu Isa orcidid: 0000-0002-9756-7374 surname: Aliyu fullname: Aliyu, Aliyu Isa email: aliyu.isa@fud.edu.ng organization: Firat University, Science Faculty, Department of Mathematics, 23119 Elazig, Turkey – sequence: 3 givenname: Abdullahi orcidid: 0000-0002-8308-7943 surname: Yusuf fullname: Yusuf, Abdullahi email: yusufabdullahi@fud.edu.ng organization: Firat University, Science Faculty, Department of Mathematics, 23119 Elazig, Turkey – sequence: 4 givenname: Dumitru surname: Baleanu fullname: Baleanu, Dumitru email: dumitru@cankaya.edu.tr organization: Department of Mathematics, Cankaya University, Ankara, Turkey |
| BookMark | eNp9kMtOwzAQRS1UJErhB1hlCUIp4yTNQ2KDyqNISGxgHTn2uEyV2MV2kfoR_DMOsGLBxmPdqzOPe8wmxhpk7IzDnAMvrzZzvx1ongGvojAHXh-wKYemTPOyqiZsClXRpCXk5RE79n4DAE3Bqyn7fN4GkqJPvO0pWOMTYVQyWLXrRSBrEjI-iI6iuY-W6PeefGJ1_Ecr4NqJrscRwH6Uz7NLfpHe0oDGRzw2XiF5NB26daLROTuItcE4M_FbMol8E_HF9933tBN2qEXv8fS3ztjr_d3LcpU-PT88Lm-eUpkDhLSopcgQ6qzRVakUdFrUhQKpuC6qGsRC8a5eLESpda1klqPIq6LIsqaTkKsF5jNW__SVznrvULeSwvcGwQnqWw7tGGu7acdY2zHWUYuxRjT7g24dDcLt_4eufyCMR30QutZLQiNRkUMZWmXpP_wLF6-Xjw |
| CitedBy_id | crossref_primary_10_1142_S0217984918503207 crossref_primary_10_1142_S0217984921502511 crossref_primary_10_1016_j_ijleo_2021_166505 crossref_primary_10_1142_S0217979219503685 crossref_primary_10_1080_17455030_2020_1722331 crossref_primary_10_1155_2023_4348758 crossref_primary_10_1016_j_padiff_2024_100783 crossref_primary_10_1142_S0218348X2340008X crossref_primary_10_1016_j_ijleo_2021_168058 crossref_primary_10_1016_j_rinp_2020_103209 crossref_primary_10_1007_s10773_022_05044_7 crossref_primary_10_1016_j_ijleo_2019_04_023 crossref_primary_10_1016_j_jmmm_2018_10_123 crossref_primary_10_1007_s11082_018_1588_8 crossref_primary_10_1088_1402_4896_ab8b27 crossref_primary_10_1140_epjp_s13360_024_05765_0 crossref_primary_10_1016_j_spmi_2017_12_010 crossref_primary_10_1016_j_heliyon_2022_e09199 crossref_primary_10_1155_2022_7422491 crossref_primary_10_1007_s11082_021_02739_9 crossref_primary_10_1016_j_ijleo_2017_12_076 crossref_primary_10_1016_j_ijleo_2017_12_075 crossref_primary_10_1002_mma_7553 crossref_primary_10_1007_s12648_021_02198_8 crossref_primary_10_1016_j_ijleo_2018_02_080 crossref_primary_10_1007_s11082_018_1459_3 crossref_primary_10_1016_j_cjph_2022_03_008 crossref_primary_10_1007_s11082_023_04969_5 crossref_primary_10_1016_j_ijleo_2019_02_027 crossref_primary_10_1142_S0217979220502835 crossref_primary_10_1016_j_rinp_2019_102157 crossref_primary_10_1142_S0217984919500209 crossref_primary_10_1002_andp_201900198 crossref_primary_10_1088_1402_4896_ac07b9 crossref_primary_10_1140_epjp_i2017_11812_2 crossref_primary_10_1016_j_physa_2019_122445 crossref_primary_10_1016_j_spmi_2017_11_035 crossref_primary_10_1007_s11071_018_4609_z crossref_primary_10_1088_1555_6611_aaffc9 crossref_primary_10_1140_epjp_s13360_020_00384_x crossref_primary_10_1016_j_rinp_2022_105967 crossref_primary_10_1080_17455030_2017_1412539 crossref_primary_10_1140_epjp_s13360_021_01718_z crossref_primary_10_3934_math_2024300 crossref_primary_10_1007_s11082_021_02939_3 crossref_primary_10_1007_s12043_019_1872_6 crossref_primary_10_1016_j_padiff_2021_100040 crossref_primary_10_1142_S0217984921502006 crossref_primary_10_1142_S0217984921503218 crossref_primary_10_1016_j_jksus_2018_05_024 crossref_primary_10_1080_09500340_2018_1512676 crossref_primary_10_1007_s11082_022_04032_9 crossref_primary_10_1016_j_cjph_2019_05_014 crossref_primary_10_1007_s11082_022_03860_z crossref_primary_10_3390_axioms12040354 crossref_primary_10_1016_j_ijleo_2018_01_107 crossref_primary_10_1016_j_physo_2020_100027 crossref_primary_10_1140_epjp_s13360_021_01160_1 crossref_primary_10_1142_S0217979221502763 crossref_primary_10_1140_epjp_s13360_022_02609_7 crossref_primary_10_1016_j_physo_2021_100086 crossref_primary_10_1142_S0217984921501396 |
| Cites_doi | 10.1103/PhysRevLett.84.4096 10.1002/mma.4081 10.1088/0031-8949/89/6/065204 10.1016/j.optcom.2011.09.043 10.1016/j.spmi.2017.08.059 10.1016/j.camwa.2016.03.020 10.1016/j.spmi.2017.03.015 10.1007/s11071-014-1876-1 10.1016/j.spmi.2017.03.022 10.1016/j.cnsns.2012.12.028 10.1140/epjp/i2017-11430-0 10.1016/j.mcm.2012.11.026 10.1016/j.jmaa.2011.09.044 10.1007/s11071-017-3379-3 10.1007/s12043-015-1179-1 10.1016/j.ijleo.2017.08.080 10.1080/09500340.2017.1352047 10.1016/j.spmi.2017.04.003 10.1140/epjp/i2017-11540-7 10.1140/epjp/i2017-11313-4 10.1007/s11071-015-2412-7 10.1515/zna-2001-0314 10.1016/S0375-9601(01)00161-X 10.1080/17455030.2017.1285449 10.1080/09500340.2014.897391 10.1016/j.ijleo.2015.10.020 10.1016/j.ijleo.2017.05.055 10.1016/S0960-0779(02)00483-6 10.1080/09500340.2014.986549 10.1080/09205071.2017.1348262 10.1142/S0218863511006108 10.1515/zna-2002-0809 10.1166/jctn.2013.2826 10.1016/j.ijleo.2016.10.105 10.12693/APhysPolA.128.245 10.1140/epjp/i2015-15138-9 10.1016/j.ijleo.2017.06.010 10.1140/epjp/i2015-15182-5 10.1142/S0217984917501639 |
| ContentType | Journal Article |
| Copyright | 2017 Elsevier Ltd |
| Copyright_xml | – notice: 2017 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.spmi.2017.10.018 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Chemistry Physics |
| EISSN | 1096-3677 |
| EndPage | 638 |
| ExternalDocumentID | 10_1016_j_spmi_2017_10_018 S0749603617323054 |
| GroupedDBID | --K --M -~X .~1 0R~ 123 1B1 1RT 1~. 1~5 29Q 4.4 457 4G. 5VS 7-5 71M 8P~ 9JN AABXZ AACTN AAEDT AAEDW AAEPC AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABFNM ABJNI ABMAC ABNEU ABXDB ABXRA ABYKQ ACDAQ ACFVG ACGFS ACNNM ACRLP ADBBV ADEZE ADFGL ADMUD AEBSH AEKER AENEX AEZYN AFKWA AFRZQ AFTJW AGHFR AGUBO AGYEJ AHHHB AIEXJ AIKHN AITUG AIVDX AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BBWZM BKOJK BLXMC CAG COF CS3 DM4 DU5 EBS EFBJH EFLBG EJD EO8 EO9 EP2 EP3 FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HMV HVGLF HZ~ IHE J1W KOM LG5 M24 M37 MAGPM MO0 N9A NDZJH O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SDF SDG SDP SES SEW SMS SPC SPCBC SPD SPG SSM SSQ SSZ T5K UHS WUQ XPP ZMT ZU3 ~G- AATTM AAXKI AAYWO AAYXX ABWVN ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFPUW AFXIZ AGQPQ AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU BNPGV CITATION SSH |
| ID | FETCH-LOGICAL-c300t-48ca2e0829f76dd0bfa84d0cd1f4780a5d1b855a6ff8dc23ea3744229bc03d5e3 |
| IEDL.DBID | .~1 |
| ISSN | 0749-6036 |
| IngestDate | Thu Apr 24 23:03:04 EDT 2025 Tue Jul 01 01:35:08 EDT 2025 Fri Feb 23 02:28:13 EST 2024 |
| IsPeerReviewed | false |
| IsScholarly | false |
| Keywords | Complex envelope function ansatz Generalized tanh method Modulation instability HFSC |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c300t-48ca2e0829f76dd0bfa84d0cd1f4780a5d1b855a6ff8dc23ea3744229bc03d5e3 |
| ORCID | 0000-0003-4996-8373 0000-0002-9756-7374 0000-0002-8308-7943 |
| PageCount | 11 |
| ParticipantIDs | crossref_citationtrail_10_1016_j_spmi_2017_10_018 crossref_primary_10_1016_j_spmi_2017_10_018 elsevier_sciencedirect_doi_10_1016_j_spmi_2017_10_018 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | December 2017 2017-12-00 |
| PublicationDateYYYYMMDD | 2017-12-01 |
| PublicationDate_xml | – month: 12 year: 2017 text: December 2017 |
| PublicationDecade | 2010 |
| PublicationTitle | Superlattices and microstructures |
| PublicationYear | 2017 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Jawad, Mirzazadeh, Zhou, Biswas (bib19) 2017; 105 Liu, Tian, Jiang, Xie, Wu (bib12) 2016; 71 Inc, Aliyu, Yusuf (bib20) 2017; 132 Baleaunu, Kilic, Inc (bib30) 2015; 16 Biswas, Konar (bib4) 2006 Inc, Yusuf, Aliyu, Baleanu (bib49) 2017 Triki, Wazwaz (bib8) 2017 Seadawy (bib47) 2013; 57 Inc, Aliyu, Yusuf (bib41) 2017 Fan (bib15) 2001; 282 Kara, Razborova, Biswas (bib37) 2015; 25 Latha, Vasanthi (bib9) 2014; 89 Inc, Aliyu, Yusuf, Baleanu (bib46) 2017; 147 Hesegawa, Kodama (bib3) 1995 Seadawy (bib48) 2017; 132 Inc, Kilic, Baleanu (bib21) 2016; 127 Inc, Aliyu, Yusuf, Baleanu (bib45) 2017 Inan, Ugurlu, Inc (bib29) 2015; 128 Biswas, Topkara, Johnson, Zerrad, Kunar (bib38) 2011; 24 Saha, Sarma (bib17) 2013; 18 Vakhnenko, Parkes, Morrison (bib33) 2003; 17 Seadawy (bib44) 2015; 130 Zhou, Liu, Zhang, Wei, Lu, Yu, Biswas (bib27) 2017; 130 Fan, Hon (bib13) 2002; 57 Inc, Aliyu, Yusuf (bib26) 2017; 31 Inc, Aliyu, Yusuf, Baleanu (bib28) 2017; 142 Zhou, Zhu (bib6) 2015; 62 Inc, Yusuf, Aliyu, Baleanu (bib50) 2017 Agrawal (bib2) 1995 Tang, Wang, Wang (bib11) 2017; 88 Inc, Aliyu, Yusuf, Baleanu (bib40) 2017; 142 Arnous, Mirzazadeh, Eslami (bib39) 2016; 86 Choudhuri, Porsezian (bib7) 2012; 285 Seadawy (bib43) 2017; 40 Zhou (bib16) 2014; 61 Hosseini, Ansari, Gholamina (bib32) 2012; 387 Li, Li, Tian (bib5) 2000; 84 Mirzazadeh, Eslami, Biswas (bib36) 2015; 80 Savescu, Khan, Naruka, Jafari, Moraru, Biswas (bib25) 2013; 10 Whitham (bib1) 1974 El-Borai, Owaidy, Ahmed, Arnous, Moshokoa, Biswas, Belic (bib23) 2016; 130 Seadawy (bib18) 2017 Tchier, Aliyu, Yusuf, Inc (bib34) 2017; 132 Triki, Wazwaz (bib10) 2016; 30 Seadawy (bib42) 2016; 455 Tchier, Yusuf, Aliyu, Inc (bib22) 2017; 105 Fan (bib14) 2001; 56 Tchier, Yusuf, Aliyu, Inc (bib31) 2017; 107 Zhou (bib24) 2016; 83 Jawad, Petkovic, Biswas (bib35) 2010; 217 Zhou (10.1016/j.spmi.2017.10.018_bib24) 2016; 83 Jawad (10.1016/j.spmi.2017.10.018_bib35) 2010; 217 Seadawy (10.1016/j.spmi.2017.10.018_bib43) 2017; 40 Triki (10.1016/j.spmi.2017.10.018_bib10) 2016; 30 El-Borai (10.1016/j.spmi.2017.10.018_bib23) 2016; 130 Fan (10.1016/j.spmi.2017.10.018_bib13) 2002; 57 Biswas (10.1016/j.spmi.2017.10.018_bib38) 2011; 24 Tchier (10.1016/j.spmi.2017.10.018_bib22) 2017; 105 Inc (10.1016/j.spmi.2017.10.018_bib26) 2017; 31 Inc (10.1016/j.spmi.2017.10.018_bib49) 2017 Choudhuri (10.1016/j.spmi.2017.10.018_bib7) 2012; 285 Liu (10.1016/j.spmi.2017.10.018_bib12) 2016; 71 Saha (10.1016/j.spmi.2017.10.018_bib17) 2013; 18 Zhou (10.1016/j.spmi.2017.10.018_bib16) 2014; 61 Inc (10.1016/j.spmi.2017.10.018_bib20) 2017; 132 Zhou (10.1016/j.spmi.2017.10.018_bib27) 2017; 130 Fan (10.1016/j.spmi.2017.10.018_bib15) 2001; 282 Tchier (10.1016/j.spmi.2017.10.018_bib31) 2017; 107 Kara (10.1016/j.spmi.2017.10.018_bib37) 2015; 25 Fan (10.1016/j.spmi.2017.10.018_bib14) 2001; 56 Seadawy (10.1016/j.spmi.2017.10.018_bib42) 2016; 455 Inc (10.1016/j.spmi.2017.10.018_bib45) 2017 Inc (10.1016/j.spmi.2017.10.018_bib50) 2017 Inc (10.1016/j.spmi.2017.10.018_bib40) 2017; 142 Seadawy (10.1016/j.spmi.2017.10.018_bib48) 2017; 132 Triki (10.1016/j.spmi.2017.10.018_bib8) 2017 Inc (10.1016/j.spmi.2017.10.018_bib41) 2017 Latha (10.1016/j.spmi.2017.10.018_bib9) 2014; 89 Seadawy (10.1016/j.spmi.2017.10.018_bib44) 2015; 130 Jawad (10.1016/j.spmi.2017.10.018_bib19) 2017; 105 Agrawal (10.1016/j.spmi.2017.10.018_bib2) 1995 Biswas (10.1016/j.spmi.2017.10.018_bib4) 2006 Inc (10.1016/j.spmi.2017.10.018_bib46) 2017; 147 Inc (10.1016/j.spmi.2017.10.018_bib21) 2016; 127 Inc (10.1016/j.spmi.2017.10.018_bib28) 2017; 142 Whitham (10.1016/j.spmi.2017.10.018_bib1) 1974 Tchier (10.1016/j.spmi.2017.10.018_bib34) 2017; 132 Savescu (10.1016/j.spmi.2017.10.018_bib25) 2013; 10 Zhou (10.1016/j.spmi.2017.10.018_bib6) 2015; 62 Baleaunu (10.1016/j.spmi.2017.10.018_bib30) 2015; 16 Hesegawa (10.1016/j.spmi.2017.10.018_bib3) 1995 Seadawy (10.1016/j.spmi.2017.10.018_bib18) 2017 Inan (10.1016/j.spmi.2017.10.018_bib29) 2015; 128 Li (10.1016/j.spmi.2017.10.018_bib5) 2000; 84 Hosseini (10.1016/j.spmi.2017.10.018_bib32) 2012; 387 Seadawy (10.1016/j.spmi.2017.10.018_bib47) 2013; 57 Tang (10.1016/j.spmi.2017.10.018_bib11) 2017; 88 Vakhnenko (10.1016/j.spmi.2017.10.018_bib33) 2003; 17 Arnous (10.1016/j.spmi.2017.10.018_bib39) 2016; 86 Mirzazadeh (10.1016/j.spmi.2017.10.018_bib36) 2015; 80 |
| References_xml | – volume: 83 start-page: 1403 year: 2016 end-page: 1408 ident: bib24 article-title: Analytical study of solitons in magneto-electro-elastic circular rod publication-title: Nonlinear Dyn. – volume: 107 start-page: 320 year: 2017 end-page: 336 ident: bib31 article-title: Soliton solutions and conservation laws for lossy nonlinear transmission line equation publication-title: Superlattice. Microstruct. – volume: 132 start-page: 224 year: 2017 ident: bib20 article-title: Traveling wave solutions and conservation laws of some fifth-order nonlinear equations publication-title: Eur. Phys. J. Plus – volume: 132 start-page: 136 year: 2017 ident: bib34 article-title: Dynamics of solitons to the ill-posed Boussinesq equation publication-title: Eur. Phys. J. Plus – volume: 142 start-page: 665 year: 2017 end-page: 673 ident: bib28 article-title: New solitary wave solutions and conservation laws to the Kudryashov-sinelshchikov equation publication-title: Optik – volume: 130 start-page: 1 year: 2015 end-page: 10 ident: bib44 article-title: Approximation solutions of derivative nonlinear Schrödinger equation with computational applications by variational method publication-title: Eur. Phys. J. Plus – volume: 24 start-page: 309 year: 2011 end-page: 3316 ident: bib38 article-title: Optical soliton perturbation in non-kerr law media travelling wave solution publication-title: J. Nonl. Opt. Phys. Mater. – year: 2017 ident: bib45 article-title: Optical solitons and modulation instability analysis with (3+1)-dimensional nonlinear Schrödinger equation publication-title: Superlattice. Microstruct. – volume: 217 start-page: 869 year: 2010 end-page: 877 ident: bib35 article-title: Modified simple equation method for nonlinear evolution equations publication-title: Appl. Math. Comput. – year: 1995 ident: bib2 article-title: Nonlinear Fiber Optics – volume: 84 start-page: 4096 year: 2000 end-page: 4099 ident: bib5 article-title: New types of solitary wave solutions for the higher order nonlinear Schrödinger equation publication-title: Phys. Rev. Lett. – volume: 142 start-page: 509 year: 2017 end-page: 522 ident: bib40 article-title: Solitons and conservation laws to the resonance nonlinear Schrödinger equation with both spatio-temporal and inter-modal dispersions publication-title: Optik – volume: 89 year: 2014 ident: bib9 article-title: An integrable model of (2+1)-dimensional Heisenberg ferromagnetic spin chain and soliton excitations publication-title: Phys. Scr – volume: 57 start-page: 692 year: 2002 end-page: 700 ident: bib13 article-title: Generalized tanh method extended to special types of nonlinear equations publication-title: Z. Naturforsch – volume: 61 start-page: 500 year: 2014 end-page: 503 ident: bib16 article-title: Analytical solutions and modulation instability analysis to the perturbed nonlinear Schrödinger equation publication-title: J. Mod. Opt. – volume: 18 start-page: 2420 year: 2013 end-page: 2425 ident: bib17 article-title: Solitary wave solutions and modulation instability analysis of the nonlinear Schrödinger equation with higher order dispersion and nonlinear terms publication-title: Commun. Nonlinear Sci. Numer. Simulat – volume: 147 start-page: 248 year: 2017 end-page: 255 ident: bib46 article-title: Dark optical solitons and conservation laws to the resonance nonlinear Schrödinger equation with Kerr law nonlinearity publication-title: Optik – year: 2017 ident: bib50 article-title: Optical solitons, nonlinear self-adjointness and conservation laws for the cubic nonlinear Schrödinger equation with repulsive delta potential publication-title: Superlattice. Microstruct. – volume: 130 start-page: 324 year: 2016 end-page: 331 ident: bib23 article-title: Dark and singular optical solitons with spatiotemporal dispersion using modified simple equation method publication-title: Optik – year: 2017 ident: bib8 article-title: Combined optical solitary waves of the Fokas-Lenells equation publication-title: Waves Random Complex Media – volume: 10 start-page: 1182 year: 2013 end-page: 1191 ident: bib25 article-title: Optical solitons in photonic nano waveguides with an improved nonlinear Schrodingers equation publication-title: J. Comput. Theor. Nanosci. – volume: 88 start-page: 2319 year: 2017 end-page: 2327 ident: bib11 article-title: Solitons and complexitons solutions of an integrable model of (2+1)-dimensional Heisenberg ferromagnetic spin chain publication-title: Nonlinear Dyn. – year: 1974 ident: bib1 article-title: Linear and Nonlinear Waves – volume: 62 start-page: 483 year: 2015 end-page: 486 ident: bib6 article-title: Combined optical solitons with parabolic law nonlinearity and spatio-temporal dispersion publication-title: J. Mod. Opt. – volume: 25 start-page: 95 year: 2015 end-page: 99 ident: bib37 article-title: Solitons and conservation laws of coupled Ostrovsky equation for internal waves publication-title: Appl. Math. Comput. – year: 2017 ident: bib49 article-title: Optical soliton solutions for the higher-order dispersive cubic-quintic nonlinear Schrödinger equation publication-title: Superlattice. Microstruct. – volume: 105 start-page: 1 year: 2017 end-page: 10 ident: bib19 article-title: Optical solitons with anti-cubic nonlinearity using three integration schemes publication-title: Superlattice. Microstruct. – volume: 40 start-page: 1598 year: 2017 end-page: 1607 ident: bib43 article-title: Ionic acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equations in quantum plasma publication-title: Math. methods Appl. Sci. – volume: 31 start-page: 1750163 year: 2017 ident: bib26 article-title: Dark optical, singular solitons and conservation laws to the nonlinear Schrödinger equation with spatio-temporal dispersion publication-title: Mod. Phys. Lett. B – volume: 130 start-page: 138 year: 2017 ident: bib27 article-title: Analytical study of Thirring optical solitons with parabolic law nonlinearity and spatio-temporal dispersion publication-title: Eur. Phys. J. Plus – volume: 80 start-page: 387 year: 2015 end-page: 396 ident: bib36 article-title: Soliton solutions to KdV6 equation publication-title: Nonlinear Dyn. – volume: 71 start-page: 2001 year: 2016 end-page: 2007 ident: bib12 article-title: Analytic study on a (2+1)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism publication-title: Comput. Math. Appl. – volume: 16 start-page: 160 year: 2015 end-page: 167 ident: bib30 article-title: First integral method for Wu-Zhang nonlinear system with time dependent coefficients publication-title: Proc. Rom. Acad. Ser. A – volume: 30 start-page: 788 year: 2016 end-page: 794 ident: bib10 article-title: New solitons and periodic wave solutions for the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation publication-title: Pramana J. Phy. – year: 2006 ident: bib4 article-title: Introduction to Non-kerr Law Optical Solitons – year: 2017 ident: bib18 article-title: Modulation instability analysis for the generalized derivative higher order nonlinear Schrödinger equation and its the bright and dark soliton solutions publication-title: J. Electromagn. Waves Appl. – volume: 57 start-page: 1371 year: 2013 end-page: 1379 ident: bib47 article-title: Traveling wave solutions for some coupled nonlinear evolution equations publication-title: Math. Comput. Model. – volume: 56 start-page: 312 year: 2001 end-page: 318 ident: bib14 article-title: Travelling wave solutions for two generalized Hirota-satsuma coupled KdV systems publication-title: Z. Naturforsch – year: 1995 ident: bib3 article-title: Solitons in Optical Communication – volume: 387 start-page: 807 year: 2012 end-page: 814 ident: bib32 article-title: Exact solutions of some nonlinear systems of partial differential equations by using the first integral method publication-title: J. Math. Anal. Appl. – volume: 128 start-page: 245 year: 2015 end-page: 251 ident: bib29 article-title: New application of the ( publication-title: Acta Phys. Pol. A – volume: 282 start-page: 18 year: 2001 end-page: 22 ident: bib15 article-title: Soliton solution for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation publication-title: Phys. Lett. – year: 2017 ident: bib41 article-title: Optical solitons to the nonlinear Schrödinger equation with spatio-temporal dispersion using complex amplitude ansatz publication-title: J. Mod. Opt. – volume: 86 start-page: 1153 year: 2016 end-page: 1160 ident: bib39 article-title: Exact solutions of the Drinfel Sokolov Wilson equation using the Backlund transformation of Riccati equation and trial function approach publication-title: Pramana J. Phy. – volume: 17 start-page: 683 year: 2003 end-page: 692 ident: bib33 article-title: A Backlund transformation and the inverse scattering transform method for the generalized Vakhnenko equation publication-title: Chaos Solit. Fractals – volume: 132 start-page: 29 year: 2017 ident: bib48 article-title: Travelling-wave solutions of a weakly nonlinear two-dimensional higher-order Kadomtsev-Petviashvili dynamical equation for dispersive shallow-water waves publication-title: Eur. Phys. J. Plus – volume: 127 start-page: 1056 year: 2016 end-page: 1058 ident: bib21 article-title: Optical soliton solutions of the pulse propagation generalized equation in parabolic-law media with space modulated coefficients publication-title: Optik – volume: 285 start-page: 364 year: 2012 end-page: 367 ident: bib7 article-title: Dark-in-the-Bright solitary wave solution of higher-order nonlinear SSchrödinger equation with non-Kerr terms publication-title: Opt. Commun. – volume: 105 start-page: 183 year: 2017 end-page: 197 ident: bib22 article-title: Optical and other solitons for the fourth-order dispersive nonlinear Schrödinger equation with dual-power law nonlinearity publication-title: Superlattice. Microstruct. – volume: 455 start-page: 44 year: 2016 end-page: 51 ident: bib42 article-title: Stability analysis solutions for nonlinear three-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in a magnetized electron-positron plasma publication-title: Comput. Math. Appl. – volume: 84 start-page: 4096 year: 2000 ident: 10.1016/j.spmi.2017.10.018_bib5 article-title: New types of solitary wave solutions for the higher order nonlinear Schrödinger equation publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.84.4096 – volume: 40 start-page: 1598 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib43 article-title: Ionic acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equations in quantum plasma publication-title: Math. methods Appl. Sci. doi: 10.1002/mma.4081 – volume: 89 year: 2014 ident: 10.1016/j.spmi.2017.10.018_bib9 article-title: An integrable model of (2+1)-dimensional Heisenberg ferromagnetic spin chain and soliton excitations publication-title: Phys. Scr doi: 10.1088/0031-8949/89/6/065204 – volume: 285 start-page: 364 year: 2012 ident: 10.1016/j.spmi.2017.10.018_bib7 article-title: Dark-in-the-Bright solitary wave solution of higher-order nonlinear SSchrödinger equation with non-Kerr terms publication-title: Opt. Commun. doi: 10.1016/j.optcom.2011.09.043 – year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib49 article-title: Optical soliton solutions for the higher-order dispersive cubic-quintic nonlinear Schrödinger equation publication-title: Superlattice. Microstruct. doi: 10.1016/j.spmi.2017.08.059 – volume: 71 start-page: 2001 year: 2016 ident: 10.1016/j.spmi.2017.10.018_bib12 article-title: Analytic study on a (2+1)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2016.03.020 – volume: 105 start-page: 1 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib19 article-title: Optical solitons with anti-cubic nonlinearity using three integration schemes publication-title: Superlattice. Microstruct. doi: 10.1016/j.spmi.2017.03.015 – volume: 217 start-page: 869 year: 2010 ident: 10.1016/j.spmi.2017.10.018_bib35 article-title: Modified simple equation method for nonlinear evolution equations publication-title: Appl. Math. Comput. – year: 1995 ident: 10.1016/j.spmi.2017.10.018_bib3 – volume: 16 start-page: 160 year: 2015 ident: 10.1016/j.spmi.2017.10.018_bib30 article-title: First integral method for Wu-Zhang nonlinear system with time dependent coefficients publication-title: Proc. Rom. Acad. Ser. A – volume: 80 start-page: 387 year: 2015 ident: 10.1016/j.spmi.2017.10.018_bib36 article-title: Soliton solutions to KdV6 equation publication-title: Nonlinear Dyn. doi: 10.1007/s11071-014-1876-1 – volume: 105 start-page: 183 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib22 article-title: Optical and other solitons for the fourth-order dispersive nonlinear Schrödinger equation with dual-power law nonlinearity publication-title: Superlattice. Microstruct. doi: 10.1016/j.spmi.2017.03.022 – volume: 18 start-page: 2420 year: 2013 ident: 10.1016/j.spmi.2017.10.018_bib17 article-title: Solitary wave solutions and modulation instability analysis of the nonlinear Schrödinger equation with higher order dispersion and nonlinear terms publication-title: Commun. Nonlinear Sci. Numer. Simulat doi: 10.1016/j.cnsns.2012.12.028 – year: 1974 ident: 10.1016/j.spmi.2017.10.018_bib1 – volume: 132 start-page: 136 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib34 article-title: Dynamics of solitons to the ill-posed Boussinesq equation publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/i2017-11430-0 – volume: 25 start-page: 95 year: 2015 ident: 10.1016/j.spmi.2017.10.018_bib37 article-title: Solitons and conservation laws of coupled Ostrovsky equation for internal waves publication-title: Appl. Math. Comput. – volume: 57 start-page: 1371 year: 2013 ident: 10.1016/j.spmi.2017.10.018_bib47 article-title: Traveling wave solutions for some coupled nonlinear evolution equations publication-title: Math. Comput. Model. doi: 10.1016/j.mcm.2012.11.026 – volume: 387 start-page: 807 year: 2012 ident: 10.1016/j.spmi.2017.10.018_bib32 article-title: Exact solutions of some nonlinear systems of partial differential equations by using the first integral method publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2011.09.044 – volume: 88 start-page: 2319 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib11 article-title: Solitons and complexitons solutions of an integrable model of (2+1)-dimensional Heisenberg ferromagnetic spin chain publication-title: Nonlinear Dyn. doi: 10.1007/s11071-017-3379-3 – volume: 86 start-page: 1153 year: 2016 ident: 10.1016/j.spmi.2017.10.018_bib39 article-title: Exact solutions of the Drinfel Sokolov Wilson equation using the Backlund transformation of Riccati equation and trial function approach publication-title: Pramana J. Phy. doi: 10.1007/s12043-015-1179-1 – volume: 147 start-page: 248 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib46 article-title: Dark optical solitons and conservation laws to the resonance nonlinear Schrödinger equation with Kerr law nonlinearity publication-title: Optik doi: 10.1016/j.ijleo.2017.08.080 – year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib41 article-title: Optical solitons to the nonlinear Schrödinger equation with spatio-temporal dispersion using complex amplitude ansatz publication-title: J. Mod. Opt. doi: 10.1080/09500340.2017.1352047 – volume: 107 start-page: 320 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib31 article-title: Soliton solutions and conservation laws for lossy nonlinear transmission line equation publication-title: Superlattice. Microstruct. doi: 10.1016/j.spmi.2017.04.003 – volume: 132 start-page: 224 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib20 article-title: Traveling wave solutions and conservation laws of some fifth-order nonlinear equations publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/i2017-11540-7 – volume: 132 start-page: 29 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib48 article-title: Travelling-wave solutions of a weakly nonlinear two-dimensional higher-order Kadomtsev-Petviashvili dynamical equation for dispersive shallow-water waves publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/i2017-11313-4 – volume: 83 start-page: 1403 year: 2016 ident: 10.1016/j.spmi.2017.10.018_bib24 article-title: Analytical study of solitons in magneto-electro-elastic circular rod publication-title: Nonlinear Dyn. doi: 10.1007/s11071-015-2412-7 – year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib45 article-title: Optical solitons and modulation instability analysis with (3+1)-dimensional nonlinear Schrödinger equation publication-title: Superlattice. Microstruct. – volume: 56 start-page: 312 year: 2001 ident: 10.1016/j.spmi.2017.10.018_bib14 article-title: Travelling wave solutions for two generalized Hirota-satsuma coupled KdV systems publication-title: Z. Naturforsch doi: 10.1515/zna-2001-0314 – volume: 282 start-page: 18 year: 2001 ident: 10.1016/j.spmi.2017.10.018_bib15 article-title: Soliton solution for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation publication-title: Phys. Lett. doi: 10.1016/S0375-9601(01)00161-X – year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib8 article-title: Combined optical solitary waves of the Fokas-Lenells equation publication-title: Waves Random Complex Media doi: 10.1080/17455030.2017.1285449 – volume: 61 start-page: 500 year: 2014 ident: 10.1016/j.spmi.2017.10.018_bib16 article-title: Analytical solutions and modulation instability analysis to the perturbed nonlinear Schrödinger equation publication-title: J. Mod. Opt. doi: 10.1080/09500340.2014.897391 – volume: 127 start-page: 1056 year: 2016 ident: 10.1016/j.spmi.2017.10.018_bib21 article-title: Optical soliton solutions of the pulse propagation generalized equation in parabolic-law media with space modulated coefficients publication-title: Optik doi: 10.1016/j.ijleo.2015.10.020 – volume: 142 start-page: 665 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib28 article-title: New solitary wave solutions and conservation laws to the Kudryashov-sinelshchikov equation publication-title: Optik doi: 10.1016/j.ijleo.2017.05.055 – volume: 17 start-page: 683 year: 2003 ident: 10.1016/j.spmi.2017.10.018_bib33 article-title: A Backlund transformation and the inverse scattering transform method for the generalized Vakhnenko equation publication-title: Chaos Solit. Fractals doi: 10.1016/S0960-0779(02)00483-6 – volume: 62 start-page: 483 year: 2015 ident: 10.1016/j.spmi.2017.10.018_bib6 article-title: Combined optical solitons with parabolic law nonlinearity and spatio-temporal dispersion publication-title: J. Mod. Opt. doi: 10.1080/09500340.2014.986549 – volume: 455 start-page: 44 year: 2016 ident: 10.1016/j.spmi.2017.10.018_bib42 article-title: Stability analysis solutions for nonlinear three-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in a magnetized electron-positron plasma publication-title: Comput. Math. Appl. – year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib18 article-title: Modulation instability analysis for the generalized derivative higher order nonlinear Schrödinger equation and its the bright and dark soliton solutions publication-title: J. Electromagn. Waves Appl. doi: 10.1080/09205071.2017.1348262 – year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib50 article-title: Optical solitons, nonlinear self-adjointness and conservation laws for the cubic nonlinear Schrödinger equation with repulsive delta potential publication-title: Superlattice. Microstruct. – volume: 24 start-page: 309 year: 2011 ident: 10.1016/j.spmi.2017.10.018_bib38 article-title: Optical soliton perturbation in non-kerr law media travelling wave solution publication-title: J. Nonl. Opt. Phys. Mater. doi: 10.1142/S0218863511006108 – volume: 57 start-page: 692 year: 2002 ident: 10.1016/j.spmi.2017.10.018_bib13 article-title: Generalized tanh method extended to special types of nonlinear equations publication-title: Z. Naturforsch doi: 10.1515/zna-2002-0809 – volume: 10 start-page: 1182 year: 2013 ident: 10.1016/j.spmi.2017.10.018_bib25 article-title: Optical solitons in photonic nano waveguides with an improved nonlinear Schrodingers equation publication-title: J. Comput. Theor. Nanosci. doi: 10.1166/jctn.2013.2826 – volume: 130 start-page: 324 year: 2016 ident: 10.1016/j.spmi.2017.10.018_bib23 article-title: Dark and singular optical solitons with spatiotemporal dispersion using modified simple equation method publication-title: Optik doi: 10.1016/j.ijleo.2016.10.105 – year: 1995 ident: 10.1016/j.spmi.2017.10.018_bib2 – volume: 30 start-page: 788 year: 2016 ident: 10.1016/j.spmi.2017.10.018_bib10 article-title: New solitons and periodic wave solutions for the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation publication-title: Pramana J. Phy. – volume: 128 start-page: 245 year: 2015 ident: 10.1016/j.spmi.2017.10.018_bib29 article-title: New application of the (G′/G, 1/G)-expansion method publication-title: Acta Phys. Pol. A doi: 10.12693/APhysPolA.128.245 – year: 2006 ident: 10.1016/j.spmi.2017.10.018_bib4 – volume: 130 start-page: 138 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib27 article-title: Analytical study of Thirring optical solitons with parabolic law nonlinearity and spatio-temporal dispersion publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/i2015-15138-9 – volume: 142 start-page: 509 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib40 article-title: Solitons and conservation laws to the resonance nonlinear Schrödinger equation with both spatio-temporal and inter-modal dispersions publication-title: Optik doi: 10.1016/j.ijleo.2017.06.010 – volume: 130 start-page: 1 year: 2015 ident: 10.1016/j.spmi.2017.10.018_bib44 article-title: Approximation solutions of derivative nonlinear Schrödinger equation with computational applications by variational method publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/i2015-15182-5 – volume: 31 start-page: 1750163 year: 2017 ident: 10.1016/j.spmi.2017.10.018_bib26 article-title: Dark optical, singular solitons and conservation laws to the nonlinear Schrödinger equation with spatio-temporal dispersion publication-title: Mod. Phys. Lett. B doi: 10.1142/S0217984917501639 |
| SSID | ssj0009417 |
| Score | 2.0674524 |
| Snippet | This paper addresses the nonlinear Schrödinger type equation (NLSE) in (2+1)-dimensions which describes the nonlinear spin dynamics of Heisenberg ferromagnetic... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 628 |
| SubjectTerms | Complex envelope function ansatz Generalized tanh method HFSC Modulation instability |
| Title | Optical solitons and modulation instability analysis of an integrable model of (2+1)-Dimensional Heisenberg ferromagnetic spin chain equation |
| URI | https://dx.doi.org/10.1016/j.spmi.2017.10.018 |
| Volume | 112 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1NT9wwELUQqIILohTE58qHHqhQdp3Y3iRHtBRtWwGHdqW9Rf6EIDYbNsuBC_-A_4wndkorVRx6iRLHliLPyPMUvXkPoc-W5pZK-K-hOI9YzkwkdZxHTKlUmkRbraBR-PJqOJ6w71M-XUGjrhcGaJXh7Pdnentah5FB2M1BXZaDn674OfhNXQmmDkdz0ARlLIUs7z-_0Txy1rruwuQIZofGGc_xaupZCfSutA8MLzD--Fdx-qPgXGyhzYAU8Zn_mI9oxVTbaH3UGbRtow8te1M1n9DLdd3-ksYNsNlcHmFRaTyb6-DNhUsAgS0N9sm98jIkeG7dPQ56EfLe4NYVB4ZPktP4S3QOwv9etAOPTdl4Lhi2ZrGYz8RNBe2PuKnLCqtb4a7mwcuG76DJxddfo3EUfBYiRQlZRixTIjHQZGvTodZEWpExTZSOLUszIriOZca5GFqbaZVQI2jKWJLkUhGquaG7aLWaV2YPYWKIorHKiHQwxYVfcCqsZiKjDngmhO2juNvgQgURcvDCuC86ttldAUEpICgw5oKyj05_r6m9BMe7s3kXt-KvRCpcjXhn3cF_rjtEG_DkGS5HaHW5eDTHDqcsZa9NxB5aO_v2Y3z1CtNj6l4 |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwELZKESoXBAVEoYAPIIGqdJ3Y3iSHHlBLtaUPDrRSb8FPCOpmw2ZR1Qv_gF_TP8hM7PCQUA9IvUSRHUeOZzIztr6Zj5AXnpeeazzXMFImohQu0TYtE2FMrl1mvTWYKHx4NJ6ciHen8nSJXA65MAirjLY_2PTeWseWUVzNUVvXow_g_CD85uCCOcTRUkRk5b67OId9W7e1twNCfpllu2-PtydJpBZIDGdskYjCqMxhXqnPx9Yy7VUhLDM29SIvmJI21YWUaux9YU3GneK5EFlWasO4lY7De2-QmwLMBdImbH7_jSspRU_zi7NLcHoxUyeAyrp2WiOeLN9ESBkyjfzLG_7h4XbvkjsxNKVvwtffI0uuWSUr2wMj3Cq51cNFTXef_Hjf9mfgtEP4HCguVY2l05mNZGC0xqizx91eQFeoe0JnHu5pLFChzxztaXiw-VW2kb5OdpBpIFQJoRNXdwF8Rr2bz2dT9anBfEvatXVDzWcFV_c11Cl_QE6uZfUfkuVm1rhHhDLHDE9NwTTERaBvSnLlrVAFh0g3Y2KNpMMCVyZWPUfyjbNqgLd9qVAoFQoF20Aoa2Tj15g21Py48mk5yK36S3MrcEpXjHv8n-Oek5XJ8eFBdbB3tP-E3MaeAK9ZJ8uL-Tf3FIKkhX7WKyUlH6_7L_gJYAIm1w |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Optical+solitons+and+modulation+instability+analysis+of+an+integrable+model+of+%282%2B1%29-Dimensional+Heisenberg+ferromagnetic+spin+chain+equation&rft.jtitle=Superlattices+and+microstructures&rft.au=Inc%2C+Mustafa&rft.au=Aliyu%2C+Aliyu+Isa&rft.au=Yusuf%2C+Abdullahi&rft.au=Baleanu%2C+Dumitru&rft.date=2017-12-01&rft.pub=Elsevier+Ltd&rft.issn=0749-6036&rft.eissn=1096-3677&rft.volume=112&rft.spage=628&rft.epage=638&rft_id=info:doi/10.1016%2Fj.spmi.2017.10.018&rft.externalDocID=S0749603617323054 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0749-6036&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0749-6036&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0749-6036&client=summon |