Article citationsMore>>

Liu, X.C., Liu, Y. and Qu, C. (2014) Orbital Stability of the Train of Peakons for an Integrable Modified Camassa-Holm Equation. Advances in Mathematics, 255, 1-37.
https://doi.org/10.1016/j.aim.2013.12.032

has been cited by the following article:

• TITLE: Orbital Stability of Peakons for a Generalized Camassa-Holm Equation

  AUTHORS: Xinhui Lu, Aiyong Chen, Tongjie Deng

  KEYWORDS: Camassa-Holm Equation, Peakon, Heteroclinic Orbit, Orbital Stability

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.10, October 8, 2019

  ABSTRACT: We investigate the orbital stability of the peakons for a generalized Camassa-Holm equation (gCH). Using variable transformation, a planar dynamical system is obtained from the gCH equation. It is shown that the planar system has two heteroclinic cycles which correspond two peakon solutions. We then prove that the peakons for the gCH equation are orbitally stable by using the method of Constantin and Strauss.