颂歌
非线性系统
孤子
符号计算
计算
数学
应用数学
非线性薛定谔方程
薛定谔方程
数学分析
物理
量子力学
算法
作者
Shoukry El-Ganaini,Sachin Kumar
标识
DOI:10.1016/j.matcom.2023.01.013
摘要
In this work, we propose a new improved modified generalized sub-ODE method for constructing new solitons and traveling wave solutions, and also show the dynamical behaviors of various wave structures to the extended nonlinear Schrödinger equation with higher-order odd and even terms, as well as a generalized nonlinear Schrödinger equation of fourth-order, using symbolic computerized work via Mathematica. This newly proposed method improves and modifies the Li method (Li-Hua and Jin-Yu, 2009) The improved method presented in this paper can be used to solve other nonlinear equations with nonlinear terms of any order of physical systems in order to obtain many solitary wave solutions and other traveling wave solutions for such nonlinear models in a unified manner. The resulting soliton solutions and other forms of solutions are very useful and advantageous in many branches of mathematical physics and nonlinear sciences such as ocean engineering, optical fibers, plasma physics, and fluid dynamics.
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