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arXiv · 1507.08368

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

Kai Yan·Zhijun Qiao·Yufeng Zhang
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Abstract

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.

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Kai Yan, Zhijun Qiao, Yufeng Zhang. 2015-07-30. Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. https://arxiv.org/abs/1507.08368

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