Extension on peaked wave solutions of CH-γ equation
Extension on peaked wave solutions of CH-γ equation
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DOI：
10.1016/j.chaos.2003.09.018
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发表时间：
2004-05
影响因子：
7.8
通讯作者：
Min-ying Tang;Chengxi Yang
中科院分区：
文献类型：
--
作者：
Min-ying Tang;Chengxi Yang
本文采用平面系统定性分析方法和微分方程数值模拟方法研究了CH-γ方程的峰值孤波解和周期尖波解。利用行波系统的分岔相图，得到了两种波解的一般显式表达式，并模拟了它们的平面图形。定性分析结果与数值模拟结果基本一致。一些先前的结果成为我们的特例。
In this paper, we employ the qualitative analysis method of planar systems and the numerical simulation approach of differential equations to study the peakons (peaked solitary wave solutions) and periodic cusp wave solutions of the CH-γ equation. By using the bifurcation phase portraits of traveling wave system, the general explicit expressions of the two wave solutions are obtained and their planar graphs are simulated. The qualitative analysis results are identical with the numerical simulation results. Some previous results become our special cases.