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math.AP2010
Stability of the -Camassa-Holm Peakons
Robin Ming Chen, Jonatan Lenells, Yue Liu
The -Camassa-Holm (CH) equation is a nonlinear integrable partial differential equation closely related to the Camassa-Holm equation. We prove that the periodic peaked travel…
math.AP2010★ 4 cited
Stability of solitary waves of a generalized two-component Camassa-Holm system
Robin Ming Chen, Yue Liu, Zhijun Qiao
We study here the existence of solitary wave solutions of a generalized two-component Camassa-Holm system. In addition to those smooth solitary-wave solutions, we show that there a…
math.AP2010★ 17 cited
On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
Ying Fu, Yue Liu, Changzheng Qu
Considered herein are the generalized Camassa-Holm and Degasperis-Procesi equations in the spatially periodic setting. The precise blow-up scenarios of strong solutions are derived…