Rational soliton solutions in the nonlocal coupled complex modified Korteweg–de Vries equations

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-07-07 DOI:10.1515/ijnsns-2021-0337

Miao Li, Yi Zhang, Rusuo Ye, Yu Lou

引用次数: 0

Abstract

Abstract In this article, our work oversees with the nonlocal coupled complex modified Korteweg–de Vries equations (cmKdV), which is a nonlocal generalization for coupled cmKdV equations. The n-fold Darboux transformation (DT) is constructed in the form of determinants for the nonlocal coupled cmKdV equations. Via generalized DT method, we obtain the rational soliton solutions describing M-shaped soliton, W-shaped soliton, and the interactions on the plane wave and periodic background. The results can be useful to study the dynamical behaviors of soliton solutions in nonlocal wave models.

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非局部耦合复变Korteweg–de Vries方程中的有理孤子解

本文研究了非局部耦合复修正Korteweg-de Vries方程(cmKdV)，它是耦合cmKdV方程的非局部推广。对于非局部耦合cmKdV方程，以行列式的形式构造了n重达布变换(DT)。通过广义DT方法，我们得到了描述m形孤子、w形孤子以及平面波和周期背景相互作用的有理孤子解。所得结果对研究非局域波模型中孤子解的动力学行为具有指导意义。

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

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.