Solitons and dynamics for the shifted reverse space-time complex modified Korteweg-de Vries equation

被引：2

作者：

Wu, Lifei ^{[1
]}

Zhang, Yi ^{[1
]}

Ye, Rusuo ^{[1
]}

Jin, Jie ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 19期

基金：

中国国家自然科学基金;

关键词：

Darboux transformation; The reverse space-time complex modified Korteweg-de Vries equation; The space-time shift parameters;

D O I：

10.1007/s11071-023-08801-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

According to the loop group method and the symmetry conditions of AKNS matrix spectral problem, different Darboux transformations are constructed to investigate the shifted reverse space-time complex modified Korteweg-de Vries equation. Based on the zero background and nonzero background, the periodic solution, the breather solution, and the kink-type breather solution on the periodic background are obtained by different Darboux transformations. In particular, the influence of the space-time shifted parameters on the solution is significant, and some novel dynamic behaviors of the solution are given. Moreover, the dynamic behaviors of the novel solutions are described by the figures.

引用

页码：18363 / 18371

页数：9

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