Higher-order mixed solution and breather solution on a periodic background for the Kundu equation

被引：7

作者：

Shi, Wei

Zhaqilao ^{[1
]}

机构：

[1] Inner Mongolia Normal Univ, Ctr Appl Math Sci, Hohhot 010022, Inner Mongolia, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 119卷

基金：

中国国家自然科学基金;

关键词：

Kundu equation; Generalized Darboux transformation; Higher-order rational solution; Periodic background; SELF-PHASE MODULATION; DE-VRIES EQUATION; DARBOUX TRANSFORMATION; MULTIPLE COLLISIONS; HAMILTONIAN-SYSTEMS; ROGUE WAVE; INSTABILITY; INTEGRABILITY; PULSES;

D O I：

10.1016/j.cnsns.2023.107134

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the generalized Darboux transformation (GDT) method and the Taylor expansion to construct solutions for the Kundu equation including the multiple breather solution on a periodic background and the mixed solutions of multiple soliton and multiple breather solution. Starting from the Lax pair under the framework of Kaup- Newell (KN) system, we obtain an odd-fold Darboux transformation. Then by means of the Taylor expansion, the odd-fold GDT is obtained in the form of determinants. By selecting different parameters in the determinants, we find various solutions. Modulation instability (MI) for the Kundu equation is also studied as a small aspect. (c) 2023 Elsevier B.V. All rights reserved.

引用

页数：14

共 44 条

[1] MODULATION INSTABILITY INDUCED BY CROSS-PHASE MODULATION [J].