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math.AP2011★ 39 cited
On the Cauchy problem for the integrable Camassa-Holm type equation with cubic nonlinearity
Ying Fu, Guilong Gui, Yue Liu +1
Considered in this paper is the modified Camassa-Holm equation with cubic nonlinearity, which is integrable and admits the single peaked solitons and multi-peakon solutions. The sh…
math.AP2011★ 2 cited
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…