On the blow-up of solutions to the integrable modified Camassa–Holm equation
On the blow-up of solutions to the integrable modified Camassa–Holm equation
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DOI：
10.1142/s0219530514500274
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发表时间：
2014-06
影响因子：
2.2
通讯作者：
Yue Liu;P. Olver;C. Qu;Shuanghu Zhang
中科院分区：
文献类型：
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作者：
Yue Liu;P. Olver;C. Qu;Shuanghu Zhang
我们推导出的条件的初始数据，包括初始动量密度不是一个符号的情况下，产生爆破的诱导解修改可积Camassa-Holm方程与立方非线性。爆破条件由初始动量密度和平均初始能量表示。
We derive conditions on the initial data, including cases where the initial momentum density is not of one sign, that produce blow-up of the induced solution to the modified integrable Camassa–Holm equation with cubic nonlinearity. The blow-up conditions are formulated in terms of the initial momentum density and the average initial energy.