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math.AP2018★ 1 cited
Existence of peakons for a cubic generalization of the Camassa-Holm equation
Yun Wang, Lixin Tian
In this paper, we study the following generalized Camassa-Holm equation with both cubic and quadratic nonlinearities: $$ m_{t}+k_{1}(3uu_{x}m+u^2m_{x})+k_{2}(2mu_{x}+m_{x}u)=0, \qu…
math.AP2018★ 1 cited
Stability of periodic peakons for the Novikov equation
Yun Wang, Lixin Tian
The Novikov equation is an integrable Camassa-Holm type equation with cubic nonlinearity and admits the periodic peakons. In this paper, it is shown that the periodic peakons are t…