Wenxia Chen, Lixin Tian, Xiaoyan Deng
Abstract:
In this article, we study a generalized weakly dissipative periodic
two-component Camassa-Holm system. We show that this system can exhibit the
wave-breaking phenomenon and determine the exact blow-up rate of strong solution
to the system. In addition, we establish a sufficient condition for having
a global solution.
Submitted September 27, 2013. Published May 14, 2014.
Math Subject Classifications: 35B44, 35B30, 35G25.
Key Words: 35B44, 35B30, 35G25.
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Wenxia Chen Nonlinear Scientific Research Center, Faculty of Science Jiangsu University, Zhenjiang, Jiangsu 212013, China email: swp@ujs.edu.cn |
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| Lixin Tian Nonlinear Scientific Research Center, Faculty of Science Jiangsu University, Zhenjiang, Jiangsu 212013, China | |
| Xiaoyan Deng Nonlinear Scientific Research Center, Faculty of Science Jiangsu University, Zhenjiang, Jiangsu 212013, China |
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