Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions
Analysis of PDEs
2015-07-31 v1
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.
Keywords
Cite
@article{arxiv.1507.08368,
title = {Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions},
author = {Kai Yan and Zhijun Qiao and Yufeng Zhang},
journal= {arXiv preprint arXiv:1507.08368},
year = {2015}
}