Subharmonic bifurcations and chaos for the traveling wave solutions of the compound Kdv-Burgers equation with external and parametrical excitations

被引：7
作者：
Zhou, Liangqiang [1 ]
Chen, Fangqi [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 243卷
基金：
美国国家科学基金会; 中国博士后科学基金;
关键词：
Kdv-Burgers equation; Subharmonic bifurcation; Chaos; Melnikov method;
D O I：
10.1016/j.amc.2014.05.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The subharmonic bifurcations and chaotic motions are investigated both analytically and numerically for the traveling solutions of compound Kdv-Burgers equation with external and parametrical excitations. The critical curves separating the chaotic and non-chaotic regions are obtained. The chaotic feature on the system parameters are discussed in detail. Some new dynamical phenomena including the "controllable frequency'' are presented. The conditions for subharmonic bifurcations are also obtained. Numerical results are given, which verify the analytical ones. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：105 / 113
页数：9
相关论文
共 16 条
[1]  
Cao R., 2013, ADV INTELL SYST COMP, V212, P189
[2]   Bifurcations and some new traveling wave solutions for the CH-γ equation [J].
Jiang, Bo ;
Lu, Yi ;
Zhang, Jianhao ;
Bi, Qinsheng .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 :220-233
[3]   Bifurcation of traveling wave solutions for the generalized compound KDV equations [J].
Li, Hong .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) :695-701
[4]   Bifurcation and exact travelling wave solutions for Gardner-KP equation [J].
Liu, Haihong ;
Yan, Fang .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 :384-394
[5]   New solitary wave and periodic wave solutions for general types of KdV and KdV-Burgers equations [J].
Lu, Dianchen ;
Hong, Baojian ;
Tian, Lixin .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (01) :77-84
[6]   Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation [J].
Rech, Paulo C. .
EUROPEAN PHYSICAL JOURNAL B, 2013, 86 (08)
[7]   Bifurcation of travelling wave solutions for the generalized KP-MEW equations [J].
Saha, Asit .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (09) :3539-3551
[8]   Bifurcations of travelling wave solutions for the generalized double sinh-Gordon equation [J].
Tang, Shengqiang ;
Huang, Wentao .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) :1774-1781
[9]   Bifurcations of traveling wave solutions for a generalized Sinh-Gordon equation [J].
Tang, Yaning ;
Xu, Wei ;
Shen, Jianwei ;
Gao, Liang .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (06) :1048-1055
[10]   Exact analytic, regular perturbation and numerical solutions of symmetry reductions of a (2+1)-dimensional KdV-Burgers equation [J].
Vaganan, B. Mayil ;
Priya, T. Shanmuga .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (03) :1265-1275
12