Stability Of Solitary Waves Of A Generalized Two-Component Camassa-Holm System

نویسندگان

  • Robin Ming Chen
  • Yue Liu
  • Zhijun Qiao
  • ROBIN MING CHEN
  • YUE LIU
  • ZHIJUN QIAO
چکیده

We study here the existence of solitary wave solutions of a generalized twocomponent Camassa-Holm system. In addition to those smooth solitary-wave solutions, we show that there are solitary waves with singularities: peaked and cusped solitary waves. We also demonstrate that all smooth solitary waves are orbitally stable in the energy space. We finally give a sufficient condition for global strong solutions to the equation without certain parameters.

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تاریخ انتشار 2010