Well posedness and blow-up solution for a new coupled Camassa–Holm equations with peakons
Well posedness and blow-up solution for a new coupled Camassa–Holm equations with peakons
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DOI：
10.1063/1.3064810
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发表时间：
2009-01
影响因子：
1.3
通讯作者：
Ying Fu;C. Qu
中科院分区：
文献类型：
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作者：
Ying Fu;C. Qu
提出了一种新的双分量接纳峰子孤子的Camassa-Holm系统。建立了系统的局部适定性。得到了强解在有限时间内发展奇性的一个判据和一个初值条件，并给出了一类局部弱解的存在性结果.
A new Camassa–Holm system with two-component admitting peakon solitons is proposed. The local well posedness for the system is established. A criterion and a condition on the initial data guaranteeing the development of singularities in finite time for strong solutions are obtained, and an existence result for a class of local weak solution is also given.