Rational soliton solutions in the nonlocal coupled complex modified Korteweg–de Vries equations-Reference-Cited by-同舟云学术

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

Published:2022-07-07 Issue:0 Volume:0 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Li Miao¹,Zhang Yi¹^ORCID,Ye Rusuo¹,Lou Yu¹

Affiliation:

1. Department of Mathematics , Zhejiang Normal University , Jinhua 321004 , PR China

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0337/pdf

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