Wave solutions to an integrable negative order KdV equation

被引：2

作者：

Cai, Niping ^{[1
]}

Qiao, Zhijun ^{[2
]}

Zhou, Yuqian ^{[1
]}

机构：

[1] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan, Peoples R China

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

来源：

WAVE MOTION | 2023年 / 116卷

基金：

中国博士后科学基金;

关键词：

Solitary wave; Pseudo-peakon; Pseudo-periodic peakon; Compacton; Bifurcation; Dynamical system; EVOLUTION-EQUATIONS; HIERARCHIES; SYMMETRIES;

D O I：

10.1016/j.wavemoti.2022.103072

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper, we study the traveling wave solutions to the second representative equa-tion of the negative-order Korteweg-de Vries hierarchy. The corresponding traveling wave system is a singular planar dynamical system with a singular straight line. By using the method of dynamical systems, explicit solutions are given. But this integrable negative order Korteweg-de Vries flow has no traveling solitary wave solution. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：16

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