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.
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