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Regular and Chaotic Dynamics, 2021, Volume 26, Issue 1, Pages 105–112
DOI: https://doi.org/10.1134/S1560354721010068 (Mi rcd1104) 		 
This article is cited in 69 scientific papers (total in 69 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
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DOI: https://doi.org/10.1134/S1560354721010068
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
Bibliographic databases:
Document Type: Article
MSC: 35G20, 35C08
Language: English
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
Citation in format AMSBIB
\Bibitem{HosMatMir21}
\by Kamyar Hosseini, Mashaallah Matinfar, Mohammad Mirzazadeh
\paper Soliton Solutions of High-order Nonlinear Schr\"{o}dinger
Equations with Different Laws of Nonlinearities
\jour Regul. Chaotic Dyn.
\yr 2021
\vol 26
\issue 1
\pages 105--112
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    • This publication is cited in the following 69 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:39
     
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