Derivation of soliton solutions to nonlinear evolution equations using He's variational principle

Mohammed K. Elboree

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Derivation of soliton solutions to nonlinear evolution equations using He's variational principle

机译：利用He的变分原理推导非线性发展方程的孤子解。

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摘要

In this study, He's semi-inverse variational principle is applied to obtain traveling wave solutions of the coupled nonlinear Schroedinger type equations. Both solitary and periodic wave solutions are observed by a suitable choice of the parameters involved. This method provides a powerful tool for nonlinear wave equations.

机译：在本研究中，将He的半反变分原理应用于耦合非线性Schroedinger型方程的行波解。可以通过适当选择相关参数来观察孤立波和周期波解。该方法为非线性波动方程提供了强大的工具。

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来源
《Applied Mathematical Modelling》 |2015年第14期|4196-4201|共6页
作者
Mohammed K. Elboree;
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作者单位

Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Coupled nonlinear Schroedinger type equation; He's semi-inverse variational principle; Soliton solution;

机译：耦合的非线性Schroedinger型方程;他是半反变分原理。孤子解;

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3. A Simple Approach to Derive a Novel N-Soliton Solution for a(3+1)-Dimensional Nonlinear Evolution Equation [J] . WU Jian-Ping 理论物理通讯（英文版） . 2010,第005期

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7. Solitons and Rational Solutions of Nonlinear Evolution Equations (Theory of Nonlinear Waves) [O] . SATSUMA JUNKICHI 1978

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Derivation of soliton solutions to nonlinear evolution equations using He's variational principle

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