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

Shan Zheng and Zhengyong Ouyang

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

Abstract: 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 proposed by Grillakis et al.

Date: 2015
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https://doi.org/10.1155/2015/789269

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:789269

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