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math.AP2017
A dispersive regularization for the modified Camassa-Holm equation
Yu Gao, Lei Li, Jian-Guo Liu
In this paper, we present a dispersive regularization for the modified Camassa-Holm equation (mCH) in one dimension, which is achieved through a double mollification for the system…
math.AP2017
The modified Camassa-Holm equation in Lagrangian coordinates
Yu Gao, Jian-Guo Liu
In this paper, we study the modified Camassa-Holm (mCH) equation in Lagrangian coordinates. For some initial data , we show that classical solutions to this equation blow up i…
math-ph2017★ 1 cited
Patched peakon weak solutions of the modified Camassa-Holm equation
Yu Gao, Lei Li, Jian-Guo Liu
In this paper, we study traveling wave solutions and peakon weak solutions of the modified Camassa-Holm (mCH) equation with dispersive term for . We study t…