Orbital Stability of Peakons for a Generalized Camassa-Holm Equation  

作　　者：Xinhui Lu[1] Aiyong Chen[1] Tongjie Deng[1] 

出　　处：《Journal of Applied Mathematics and Physics》2019年第10期2200-2211,共12页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：CAMASSA-HOLM EQUATION PEAKON HETEROCLINIC ORBIT ORBITAL Stability 

分 类 号：O17[理学—数学]