Peakon weak solutions for the rotation-two-component Camassa–Holm system

Engui FAN, Man Wai YUEN

Research output: Contribution to journalArticle

Abstract

Recently, Fan, Gao and Liu proposed a kind of rotation-two-component Camassa–Holm system. In this paper, we investigate whether the rotation-two-component Camassa–Holm system admits peakon-delta weak solutions in distribution sense. As special reductions, all peakon solutions for generalized Dullin–Gottwald–Holm system, two-component Camassa–Holm system, Dullin–Gottwald–Holm equation and Camassa–Holm equation are recovered from the corresponding results of rotation-two-component Camassa–Holm system. Copyright © 2019 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)53-59
JournalApplied Mathematics Letters
Volume97
Early online dateMay 2019
DOIs
Publication statusE-pub ahead of print - May 2019

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Peakon
Weak Solution
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Camassa-Holm Equation

Bibliographical note

Fan, E., & Yuen, M. (2019). Peakon weak solutions for the rotation-two-component Camassa–Holm system. Applied Mathematics Letters, 97, 53-59. doi: 10.1016/j.aml.2019.05.008

Keywords

  • Rotation-two-component camassa–Holm system
  • Delta function
  • Peakon solution