Dynamical survey of the dual power Zakharov-Kuznetsov-Burgers equation with external periodic perturbation

被引：18

作者：

Das, Amiya ^{[1
]}

Saha, Asit ^{[2
]}

机构：

[1] Kazi Nazrul Univ, Dept Math, Asansol 713340, India

[2] Sikkim Manipal Univ, Sikkim Manipal Inst Technol, Dept Math, Rangpo 737136, East Sikkim, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 76卷 / 05期

关键词：

Dual power ZK-Burgers equation; Bifurcation; Periodic motion; Chaotic motion; TRAVELING-WAVE SOLUTIONS; ROSSBY SOLITARY WAVES; SYMBOLIC COMPUTATION; BIFURCATIONS; WELL;

D O I：

10.1016/j.camwa.2018.06.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the dynamical behavior of the newly introduced dual power Zakharov-Kuznetsov-Burgers equation. Using bifurcation theory of planar dynamical systems, we study bifurcations of traveling wave solutions of the dual power Zakharov-Kuznetsov-Burgers equation in presence and absence of viscosity (mu) effect. In presence of an external periodic perturbation, we discuss the periodic and chaotic motions of the perturbed dual power Zakharov-Kuznetsov-Burgers equation by analyzing phase projection analysis, time series analysis, Poincare section and sensitivity analysis. The effect of viscosity () plays an important role in the transition from chaotic motion to periodic motion of the perturbed dual power Zakharov-Kuznetsov-Burgers equation. (C) 2018 Published by Elsevier Ltd.

引用

页码：1174 / 1183

页数：10

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