Soliton Solutions of High-order Nonlinear Schrödinger Equations with Different Laws of Nonlinearities

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Regular and Chaotic Dynamics Pub Date : 2021-02-03 DOI:10.1134/S1560354721010068

Kamyar Hosseini, Mashaallah Matinfar, Mohammad Mirzazadeh

引用次数: 51

Abstract

In the present paper, high-order nonlinear Schr?dinger 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 Schr?dinger equations.

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具有不同非线性规律的高阶非线性Schrödinger方程的孤子解

在本文中，高阶非线性Schr?研究了具有不同非线性律的非克尔律介质中的丁格方程。为此，在考虑复杂包络并区分模型的实部和虚部之后，用组织良好的新Kudryashov方法得到了孤子在非线性光纤中的传播。认为新的Kudryashov方法为寻找高阶非线性薛氏孤子解提供了有效的数学工具。谔方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Regular and Chaotic Dynamics 物理-力学

CiteScore

2.50

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.