Bifurcations and exact traveling wave solutions for the KdV-like equation

被引：0
|
作者：
Zhenli Wang
Xiqiang Liu
机构：
[1] Nanjing University of Science and Technology,Department of Applied Mathematics, School of Science
[2] Liaocheng University,School of Mathematical Sciences
来源：
Nonlinear Dynamics | 2019年 / 95卷
关键词：
Bifurcation theory; Planar dynamical systems; KdV-like equation; Traveling wave solutions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Applying the combination of the qualitative theory of differential equation and bifurcation theory of planar dynamical systems to a combined form of KdV-like equation, the bifurcations of phase portraits to the corresponding traveling system of this equation are presented. The exact representations of smooth and non-smooth traveling wave solutions are obtained under different regions of parametric space. Moreover, numerical simulations are provided for some solutions of the equation.
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收藏
页码：465 / 477
页数：12
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