Integrable peakon systems with weak kink and kink-peakon interactional solutions

We report two integrable peakon systems that have weak kink and kink-peakon interactional solutions. Both peakon systems are guaranteed integrable through providing their Lax pairs. The peakon and multi-peakon solutions of both equations are studied. In particular, the two-peakon dynamic systems are...

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Published inFrontiers of Mathematics Vol. 8; no. 5; pp. 1185 - 1196
Main Authors QIAO, Zhijun, XIA, Baoqiang
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Higher Education Press 01.10.2013
Springer Berlin Heidelberg
Springer Nature B.V
Subjects
China
Collisions
Conservation laws
Differential equations
Dynamic tests
Dynamical systems
Dynamics
Integrable system
kink-peakon
Lax pair
Lax对
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
peakon
Research Article
Studies
Theorems
weak kink
孤立子
扭结
方程
碰撞
系统
Lax pair
peakon
35Q58
Integrable system
35Q51
weak kink
37K10
kink-peakon
Online AccessGet full text
ISSN1673-3452
2731-8648
1673-3576
2731-8656
DOI10.1007/s11464-013-0314-x

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Summary:We report two integrable peakon systems that have weak kink and kink-peakon interactional solutions. Both peakon systems are guaranteed integrable through providing their Lax pairs. The peakon and multi-peakon solutions of both equations are studied. In particular, the two-peakon dynamic systems are explicitly presented and their collisions are investigated. The weak kink solution is studied, and more interesting, the kink-peakon interactional solutions are proposed for the first time.
Bibliography:We report two integrable peakon systems that have weak kink and kink-peakon interactional solutions. Both peakon systems are guaranteed integrable through providing their Lax pairs. The peakon and multi-peakon solutions of both equations are studied. In particular, the two-peakon dynamic systems are explicitly presented and their collisions are investigated. The weak kink solution is studied, and more interesting, the kink-peakon interactional solutions are proposed for the first time.
Integrable system, Lax pair, peakon, weak kink, kink-peakon
11-5739/O1
Document accepted on :2013-06-03
Lax pair
peakon
Integrable system
weak kink
Document received on :2013-04-18
kink-peakon
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
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ISSN:1673-3452
2731-8648
1673-3576
2731-8656
DOI:10.1007/s11464-013-0314-x