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Paper detail

Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions

This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity, which includes the cubic Camassa-Holm equation (also called the Fokas-Olver-Rosenau-Qiao equation) as a special case. The one peaked solitons (peakons) and two peakon solutions are described in an explicit formula. Then, the local well-posedness for the Cauchy problem of the system is studied. Moreover, we target at the precise blow-up scenario for strong solutions to the system, and establish a new blow-up result with respect to the initial data.

preprint2015arXivOpen access
Kai YanZhijun QiaoYufeng Zhang
math.AP
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Kai YanZhijun QiaoYufeng Zhang

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