Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa–Holm equation
Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa–Holm equation
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DOI：
10.1016/j.chaos.2005.02.021
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发表时间：
2005-11
影响因子：
7.8
通讯作者：
Jianwei Shen;Wei Xu
中科院分区：
文献类型：
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作者：
Jianwei Shen;Wei Xu
利用分支理论和相图分析的方法，分析了广义Camassa-Holm方程utt+2kux−uxxt+aum ux=2uxuxx+uuxxx的行波解的动力学行为.给出了紧致波和尖波出现的条件。此外，还指出了孤立尖波和周期尖波存在的原因。
The dynamical behavior of travelling wave solutions in the Generalized Camassa–Holm equation u t+ 2ku x− u xxt+ au m u x= 2u x u xx+ uu xxx is analyzed by using the bifurcation theory and the method of phase portraits analysis. The condition under which compactons and cusp waves appear are also given. In addition, the reason for solitary cusp wave and periodic cusp wave to exist is highlighted.