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.
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
\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
\mathnet{http://mi.mathnet.ru/rcd1104}
\crossref{https://doi.org/10.1134/S1560354721010068}
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Linking options:
https://www.mathnet.ru/eng/rcd1104
https://www.mathnet.ru/eng/rcd/v26/i1/p105
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