Wave breaking and infinite propagation speed for a modified two-component Camassa-Holm system with κ≠0

被引：0
作者：
Wujun Lv
Ahmed Alsaedi
Tasawar Hayat
Yong Zhou
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science
[3] Quaid-I-Azam University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
MCH2; blow-up; infinite propagation speed;
D O I：
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学科分类号：
摘要：
In this paper, we investigate the modified two-component Camassa-Holm equation with κ≠0 on the real line. Firstly, we establish sufficient conditions on the initial data to guarantee that the corresponding solution blows up in finite time for the modified two-component Camassa-Holm (MCH2) system. Then an infinite propagation speed for MCH2 is proved in the following sense: the corresponding solution u(x,t)+κ with compactly supported initial data (u0(x)+κ,ρ0(x)) does not have compact x-support in its lifespan.
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