Stability of the $\mu$-Camassa-Holm Peakons

Robin Ming Chen; Jonatan Lenells; Yue Liu

Stability of the $\mu$-Camassa-Holm Peakons

Analysis of PDEs 2010-11-19 v1

Authors: Robin Ming Chen , Jonatan Lenells , Yue Liu

Abstract

The $\mu$ -Camassa-Holm ( $\mu$ CH) equation is a nonlinear integrable partial differential equation closely related to the Camassa-Holm equation. We prove that the periodic peaked traveling wave solutions (peakons) of the $\mu$ CH equation are orbitally stable.

Keywords

μ-Camassa-Holm equation peakons orbital stability periodic traveling waves nonlinear integrable PDE

Cite

@article{arxiv.1011.4130,
  title  = {Stability of the $\mu$-Camassa-Holm Peakons},
  author = {Robin Ming Chen and Jonatan Lenells and Yue Liu},
  journal= {arXiv preprint arXiv:1011.4130},
  year   = {2010}
}

Comments

12 pages, 2 figures

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