New optical solitons of perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion
The perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion (PNSHE-STD) which governs the propagation of dispersive pulses in optical fibers, is investigated in this study using an improved Sardar sub-equation method. The Kerr and power laws of nonlinearity are taken into acc...
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| Published in | Results in physics Vol. 29; p. 104656 |
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| Main Authors | , , , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.10.2021
Elsevier |
| Subjects | |
| Online Access | Get full text |
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| Abstract | The perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion (PNSHE-STD) which governs the propagation of dispersive pulses in optical fibers, is investigated in this study using an improved Sardar sub-equation method. The Kerr and power laws of nonlinearity are taken into account. As a result of this improved technique, many constraint conditions required for the existence of soliton solutions emerge. We retrieved several solutions such as the bright solitons, dark solitons, singular solitons, mixed bright–dark solitons, singular-bright combo solitons, periodic, and other solutions. Furthermore, we demonstrate the dynamical behaviors and physical significance of these solutions by using different parameter values. |
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| AbstractList | The perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion (PNSHE-STD) which governs the propagation of dispersive pulses in optical fibers, is investigated in this study using an improved Sardar sub-equation method. The Kerr and power laws of nonlinearity are taken into account. As a result of this improved technique, many constraint conditions required for the existence of soliton solutions emerge. We retrieved several solutions such as the bright solitons, dark solitons, singular solitons, mixed bright–dark solitons, singular-bright combo solitons, periodic, and other solutions. Furthermore, we demonstrate the dynamical behaviors and physical significance of these solutions by using different parameter values. |
| ArticleNumber | 104656 |
| Author | Khater, Mostafa M.A. Ahmad, Hijaz Rezazadeh, Hadi Akinyemi, Lanre Shi, Qiu-Hong Akbar, M. Ali Inc, Mustafa Jhangeer, Adil |
| Author_xml | – sequence: 1 givenname: Lanre orcidid: 0000-0002-5920-250X surname: Akinyemi fullname: Akinyemi, Lanre organization: Department of Mathematics, Lafayette College, Easton, PA, USA – sequence: 2 givenname: Hadi surname: Rezazadeh fullname: Rezazadeh, Hadi organization: Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran – sequence: 3 givenname: Qiu-Hong orcidid: 0000-0003-3612-4534 surname: Shi fullname: Shi, Qiu-Hong email: shiqiuhong@zjhu.edu.cn organization: Department of Mathematics, Huzhou University, Huzhou 313000, PR China – sequence: 4 givenname: Mustafa orcidid: 0000-0003-4996-8373 surname: Inc fullname: Inc, Mustafa email: minc@firat.edu.tr organization: Department of Computer Engineering, Biruni University, Istanbul, Turkey – sequence: 5 givenname: Mostafa M.A. surname: Khater fullname: Khater, Mostafa M.A. organization: Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, PR China – sequence: 6 givenname: Hijaz surname: Ahmad fullname: Ahmad, Hijaz organization: Department of Basic Sciences, University of Engineering and Technology, Peshawar, Pakistan – sequence: 7 givenname: Adil surname: Jhangeer fullname: Jhangeer, Adil organization: Department of Electrical Engineering, Namal Institute, Talagang Road, Mianwali 42250, Pakistan – sequence: 8 givenname: M. Ali surname: Akbar fullname: Akbar, M. Ali organization: Department of Applied Mathematics, University of Rajshahi, Bangladesh |
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| Keywords | Improved Sardar sub-equation method Perturbed nonlinear Schrödinger–Hirota equation Optical solitons Kerr and power laws |
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167 Mirzazadeh (10.1016/j.rinp.2021.104656_b14) 2018; 154 Senol (10.1016/j.rinp.2021.104656_b30) 2021; 35 Biswas (10.1016/j.rinp.2021.104656_b15) 2018; 172 Vahidi (10.1016/j.rinp.2021.104656_b19) 2021; 227 Inc (10.1016/j.rinp.2021.104656_b54) 2018; 113 Biswas (10.1016/j.rinp.2021.104656_b25) 2017; 148 Lu (10.1016/j.rinp.2021.104656_b32) 2017; 24 Mylonas (10.1016/j.rinp.2021.104656_b24) 2017; 381 Arnous (10.1016/j.rinp.2021.104656_b55) 2017; 136 Az-Zo’bi (10.1016/j.rinp.2021.104656_b50) 2021; 53 Khater (10.1016/j.rinp.2021.104656_b33) 2021; 13 Rezazadeh (10.1016/j.rinp.2021.104656_b37) 2020; 8 Biswas (10.1016/j.rinp.2021.104656_b59) 2014; 44 Wazwaz (10.1016/j.rinp.2021.104656_b7) 2019; 192 Kaur (10.1016/j.rinp.2021.104656_b16) 2019; 179 Rezazadeh (10.1016/j.rinp.2021.104656_b2) 2021; 24 Vahidi (10.1016/j.rinp.2021.104656_b51) 2021; 21 Az-Zo’bi (10.1016/j.rinp.2021.104656_b28) 2021; 35 Gaxiola (10.1016/j.rinp.2021.104656_b10) 2018; 172 Kudryashov (10.1016/j.rinp.2021.104656_b44) 2020; 206 Biswas (10.1016/j.rinp.2021.104656_b5) 2018; 164 Ablowitz (10.1016/j.rinp.2021.104656_b23) 2004 Houwe (10.1016/j.rinp.2021.104656_b38) 2021; 136 Radha (10.1016/j.rinp.2021.104656_b4) 1994; 10 Liu (10.1016/j.rinp.2021.104656_b12) 2017; 62 Ablowitz (10.1016/j.rinp.2021.104656_b22) 2011 Osman (10.1016/j.rinp.2021.104656_b18) 2018; 80 Bernstein (10.1016/j.rinp.2021.104656_b58) 2014; 23 Rezazadeh (10.1016/j.rinp.2021.104656_b60) 2018; 172 Rezazadeh (10.1016/j.rinp.2021.104656_b35) 2019; 43 Biswas (10.1016/j.rinp.2021.104656_b13) 2019; 176 Mirzazadeh (10.1016/j.rinp.2021.104656_b40) 2021; 241 Akinyemi (10.1016/j.rinp.2021.104656_b41) 2021; 25 Zhou (10.1016/j.rinp.2021.104656_b6) 2016; 46 |
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| Snippet | The perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion (PNSHE-STD) which governs the propagation of dispersive pulses in optical... |
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| StartPage | 104656 |
| SubjectTerms | Improved Sardar sub-equation method Kerr and power laws Optical solitons Perturbed nonlinear Schrödinger–Hirota equation |
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| Title | New optical solitons of perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion |
| URI | https://dx.doi.org/10.1016/j.rinp.2021.104656 https://doaj.org/article/ea7907a95a0a48e8a84a9662f2cd2544 |
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