arXiv:1507.08368 Abstract | arXiv Analytics

arXiv:1507.08368 [math.AP]Abstract References Reviews Resources

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

Published 2015-07-30Version 1

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.

Categories: math.AP

Keywords: integrable two-component camassa-holm system, peakon solutions, cubic nonlinearity, blow-up phenomena, cubic camassa-holm equation

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