Darboux transformation and solitonic solution to the coupled complex short pulse equation

被引：37

作者：

Feng, Bao-Feng ^{[1
]}

Ling, Liming ^{[2
]}

机构：

[1] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78541 USA

[2] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2022年 / 437卷

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Darboux transformation; Coupled complex short pulse equation; Solitons; Rogue waves; Modulational instability; INVERSE SCATTERING TRANSFORM; MULTIPLE-POLE SOLITONS; MODULATIONAL INSTABILITY; SCHRODINGER-EQUATIONS; WAVE SOLUTIONS; ASYMPTOTICS; ORDER; WATER;

D O I：

10.1016/j.physd.2022.133332

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Darboux transformation (DT) for the coupled complex short pulse (CCSP) equation is constructed through the loop group method. The DT is then utilized to construct various exact solutions including bright-soliton, dark-soliton, breather and rogue wave solutions to the CCSP equation. In case of vanishing boundary condition (VBC), we perform the inverse scattering analysis. Breather and rogue wave solutions are constructed under non-vanishing boundary condition (NVBC). Moreover, we conduct a modulational instability (MI) analysis based on the method of squared eigenfunctions, whose result confirms the condition for the existence of rogue wave solution. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：28

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