Solitons in magneto-optic waveguides by extended trial function scheme
This paper obtains soliton solutions to magneto-optic waveguides that appear with Kerr, power and log-law nonlinearities. The extended trial function method is employed to obtain these solutions. Thus, bright, dark and singular soliton solutions are retrieved. In addition, Gaussons are obtained for...
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| Published in | Superlattices and microstructures Vol. 107; pp. 197 - 218 |
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| Main Authors | , , , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
01.07.2017
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| Subjects | |
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| Abstract | This paper obtains soliton solutions to magneto-optic waveguides that appear with Kerr, power and log-law nonlinearities. The extended trial function method is employed to obtain these solutions. Thus, bright, dark and singular soliton solutions are retrieved. In addition, Gaussons are obtained for log-law nonlinear waveguides. All of these solutions appear with constraints that guarantees the existence of solitons and Gaussons.
•Optical solitons in magneto-optic waveguides are studied analytically.•Soliton solutions and Gaussons are reported.•Kerr, power and log-law nonlinearities are considered. |
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| AbstractList | This paper obtains soliton solutions to magneto-optic waveguides that appear with Kerr, power and log-law nonlinearities. The extended trial function method is employed to obtain these solutions. Thus, bright, dark and singular soliton solutions are retrieved. In addition, Gaussons are obtained for log-law nonlinear waveguides. All of these solutions appear with constraints that guarantees the existence of solitons and Gaussons.
•Optical solitons in magneto-optic waveguides are studied analytically.•Soliton solutions and Gaussons are reported.•Kerr, power and log-law nonlinearities are considered. |
| Author | Zhou, Qin Biswas, Anjan Sonmezoglu, Abdullah Ullah, Malik Zaka Moshokoa, Seithuti P. Ekici, Mehmet Belic, Milivoj |
| Author_xml | – sequence: 1 givenname: Mehmet surname: Ekici fullname: Ekici, Mehmet organization: Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey – sequence: 2 givenname: Qin surname: Zhou fullname: Zhou, Qin email: qzh@whu.edu.cn, qinzhou@whu.edu.cn organization: School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People's Republic of China – sequence: 3 givenname: Abdullah surname: Sonmezoglu fullname: Sonmezoglu, Abdullah organization: Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey – sequence: 4 givenname: Seithuti P. surname: Moshokoa fullname: Moshokoa, Seithuti P. organization: Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa – sequence: 5 givenname: Malik Zaka surname: Ullah fullname: Ullah, Malik Zaka organization: Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, PO Box 80203, Jeddah 21589, Saudi Arabia – sequence: 6 givenname: Anjan surname: Biswas fullname: Biswas, Anjan organization: Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa – sequence: 7 givenname: Milivoj surname: Belic fullname: Belic, Milivoj organization: Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar |
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| Cites_doi | 10.1166/jno.2013.1459 10.1007/s11071-016-2613-8 10.1016/0167-2789(95)00133-O 10.1088/0253-6102/49/1/33 10.1007/s11071-015-2515-1 10.1007/s11071-012-0373-7 10.1166/jctn.2013.2826 10.1007/s12043-012-0284-7 10.1016/j.cpc.2009.10.006 |
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| References | Savescu, Khan, Naruka, Jafari, Moraru, Biswas (bib12) 2013; 10 Ekici, Mirzazadeh, Eslami (bib3) 2016; 84 Liu (bib10) 2008; 49 Kumar, Singh, Gupta (bib9) 2012; 79 Gurefe, Misirli, Sonmezoglu, Ekici (bib7) 2013; 219 Fokas (bib4) 1995; 87 Savescu, Bhrawy, Hilal, Alshaery, Biswas (bib14) 2014; 68 Geng, Lv (bib5) 2012; 69 Girgis, Milovic, Konar, Yildirim, Jafari, Biswas (bib6) 2012; 64 Liu (bib11) 2010; 181 Guzman, Alshaery, Hilal, Bhrawy, Mahmood, Moraru, Biswas (bib8) 2014; 16 Biswas (bib1) 2004; 153 Biswas, Konar (bib2) 2006 Zhou, Ekici, Sonmezoglu, Mirzazadeh, Eslami (bib15) 2016; 84 Savescu, Khan, Kohl, Moraru, Yildirim, Biswas (bib13) 2013; 8 Girgis (10.1016/j.spmi.2017.04.021_bib6) 2012; 64 Liu (10.1016/j.spmi.2017.04.021_bib10) 2008; 49 Guzman (10.1016/j.spmi.2017.04.021_bib8) 2014; 16 Zhou (10.1016/j.spmi.2017.04.021_bib15) 2016; 84 Biswas (10.1016/j.spmi.2017.04.021_bib1) 2004; 153 Savescu (10.1016/j.spmi.2017.04.021_bib12) 2013; 10 Biswas (10.1016/j.spmi.2017.04.021_bib2) 2006 Gurefe (10.1016/j.spmi.2017.04.021_bib7) 2013; 219 Ekici (10.1016/j.spmi.2017.04.021_bib3) 2016; 84 Savescu (10.1016/j.spmi.2017.04.021_bib14) 2014; 68 Kumar (10.1016/j.spmi.2017.04.021_bib9) 2012; 79 Fokas (10.1016/j.spmi.2017.04.021_bib4) 1995; 87 Savescu (10.1016/j.spmi.2017.04.021_bib13) 2013; 8 Geng (10.1016/j.spmi.2017.04.021_bib5) 2012; 69 Liu (10.1016/j.spmi.2017.04.021_bib11) 2010; 181 |
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