110 citations · 117 across the 8 of their papers we have counts for
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math.AP2018★ 110 cited
Ill-posedness of the Camassa-Holm and related equations in the critical space
Zihua Guo, Xingxing Liu, Luc Molinet +1
We prove norm inflation and hence ill-posedness for a class of shallow water wave equations, such as the Camassa-Holm equation, Degasperis-Procesi equation and Novikov equation etc…
math.AP2018★ 1 cited
Stability of peakons for the generalized modified Camassa-Holm equation
Zihua Guo, Xiaochuan Liu, Xingxing Liu +1
In this paper, we study orbital stability of peakons for the generalized modified Camassa-Holm (gmCH) equation, which is a natural higher-order generalization of the modified Camas…