General breather and rogue wave solutions to the complex short pulse equation

被引：14

作者：

Feng, Bao-Feng ^{[1
]}

Ma, Ruyun ^{[2
]}

Zhang, Yujuan ^{[2
]}

机构：

[1] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

[2] Xidian Univ, Sch Math & Stat, Xian 710126, Peoples R China

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2022年 / 439卷

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

Defocusing complex short pulse equation; Breather; Rogue wave; KP-Toda hierarchy; NLS EQUATION; DYNAMICS; SOLITONS;

D O I：

10.1016/j.physd.2022.133360

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we attempt to construct both the breather and rogue wave solutions to the focusing complex short pulse (fCSP) equation via the KP-Toda reduction method. Following a procedure of reducing the bilinear equations satisfied by tau functions of Kadomtsev-Petviashvili (KP)-Toda hierarchy to the ones of the fCSP equation with nonzero boundary condition, we first deduce the general breather solution of the fCSP equation starting from a specially arranged tau-function of the KP-Toda hierarchy, then we construct and prove the Nth order rogue wave solutions of the fCSP equation and express them in two different but equivalent forms of determinants. The dynamical behaviors of both the breather and rogue wave solutions are illustrated and analyzed. (C) 2022 Published by Elsevier B.V.

引用

页数：16

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