|
This article is cited in 66 scientific papers (total in 66 papers)
Soliton Solutions of High-order Nonlinear Schrödinger
Equations with Different Laws of Nonlinearities
Kamyar Hosseinia, Mashaallah Matinfara, Mohammad Mirzazadehb a Department of Mathematics, Faculty of Mathematical Sciences,
University of Mazandaran,
P. C. 13534-47416 Babolsar, Iran
b Department of Engineering Sciences, Faculty of Technology and Engineering,
East of Guilan, University of Guilan,
P. C. 44891-63157 Rudsar-Vajargah, Iran
Abstract:
In the present paper, high-order nonlinear Schrödinger equations in non-Kerr law media with different laws of nonlinearities are studied. In this respect, after considering a complex envelope and distinguishing the real and imaginary portions of the models, describing the propagation of solitons through nonlinear optical fibers, their soliton solutions are obtained using the well-organized new Kudryashov method. It is believed that the new Kudryashov method provides an effective mathematical tool to look for soliton solutions of high-order nonlinear Schrödinger equations.
Keywords:
high-order nonlinear Schrödinger
equations, non-Kerr law media, different laws of nonlinearities,
new Kudryashov method, soliton solutions.
Received: 09.11.2020 Accepted: 22.12.2020
Citation:
Kamyar Hosseini, Mashaallah Matinfar, Mohammad Mirzazadeh, “Soliton Solutions of High-order Nonlinear Schrödinger
Equations with Different Laws of Nonlinearities”, Regul. Chaotic Dyn., 26:1 (2021), 105–112
Linking options:
https://www.mathnet.ru/eng/rcd1104 https://www.mathnet.ru/eng/rcd/v26/i1/p105
|
Statistics & downloads: |
Abstract page: | 86 | References: | 16 |
|