24 citations · 24 across the 2 of their papers we have counts for
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On the wave-breaking phenomena and global existence for the generalized periodic Camassa-Holm equation
Guilong Gui, Yue Liu, Min Zhu
Considered herein is the initial-value problem for the generalized periodic Camassa-Holm equation which is related to the Camassa-Holm equation and the Hunter-Saxton equation. Suff…
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…
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…
Stability of peakons for the Degasperis-Procesi equation
Zhiwu Lin, Yue Liu
The Degasperis-Procesi equation can be derived as a member of a one-parameter family of asymptotic shallow water approximations to the Euler equations with the same asymptotic accu…