Smooth and non-smooth travelling wave solutions of generalized Degasperis-Procesi equation
Smooth and non-smooth travelling wave solutions of generalized Degasperis-Procesi equation
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DOI：
10.1016/j.amc.2006.05.029
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发表时间：
2006-11
期刊：
影响因子：
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通讯作者：
Jianwei Shen;W. Xu
中科院分区：
文献类型：
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作者：
Jianwei Shen;W. Xu
利用分支理论和相图分析方法研究了广义Degasperis-Procesi方程ut+ c 0 ux −utxx+auux= 3uxuxxx +uuxxxis的动力学行为和特解.结果得到了峰子解、周期尖波解和周期尖波解的解析表达式。并给出了出现峰子解和峰子解的条件。同时，给出了孤立尖波和周期尖波出现的原因。
The dynamical behavior and special exact solutions of the generalized Degasperis–Procesi equation ut+c0ux−utxx+auux=3uxuxx+uuxxxis analyzed by using bifurcation theory and the method of phase portraits analysis. As a result, the analytic expressions of peakon solutions, compacton solutions and periodic cusp wave solutions are obtained. And the condition under which peakon and compacton solutions appear are also given. In the meantime, the reason that solitary cusp wave and periodic cusp wave appear is given.