Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic Nonlinearity

We consider the stability of negative solitary waves to a generalized Camassa-Holm equation with quartic nonlinearity. We obtain the existence of negative solitary waves for any wave speed c>0 and some of their qualitative properties and then prove that they are orbitally stable by using a method...

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Bibliographic Details
Main Authors: Shan Zheng, Zhengyong Ouyang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/789269