Bifurcations and exact traveling wave solutions for a class of nonlinear fourth-order partial differential equations

被引：0
|
作者：
Liyan Zhong
Shengqiang Tang
Lijing Qiao
机构：
[1] Guilin University of Electronic Technology,School of Mathematics and Computing Science and Guangxi Experiment Center of Information Science
来源：
Nonlinear Dynamics | 2015年 / 80卷
关键词：
Bifurcation theory of dynamical systems; Peakon; Loop solution; Periodic cusp wave; Periodic wave ;
D O I：
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学科分类号：
摘要：
In this paper, we study the bifurcations and exact traveling wave solutions for a class of nonlinear fourth-order partial differential equations. Based on the method of bifurcation theory of dynamical systems, the nonlinear fourth-order partial differential equations are shown the existence and implicit expressions of peakon, loop, periodic cusp wave, unbounded wave and periodic wave solutions. In particular, the numerical simulations of the bounded wave solutions are given to show the correctness of our results.
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页码：129 / 145
页数：16
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