Dynamics of the generalized KP-MEW-Burgers equation with external periodic perturbation

被引：24

作者：

Saha, Asit ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 09期

关键词：

KP-MEW-Burgers equation; Bifurcation; Periodic motion; Chaotic motion; ACOUSTIC SHOCK-WAVES; SUPERTHERMAL ELECTRONS; MULTIION PLASMAS; BIFURCATIONS; SOLITONS; MODEL;

D O I：

10.1016/j.camwa.2017.02.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The generalized Kadomtsev-Petviashvili modified equal width-Burgers (KP-MEW-Burgers) equation is introduced for the first time. The qualitative change of the traveling wave solutions of the KP-MEW-Burgers equation is studied using numerical simulations. Considering an external periodic perturbation, the periodic and chaotic motions of the perturbed KP-MEW-Burgers equation are investigated by using the phase projection analysis, time series analysis, Poincare section and bifurcation diagram. The parameter a (nonlinear coefficient) plays a crucial role in the periodic motions and chaotic motions through period doubling route to chaos of the perturbed KP-MEW-Burgers equation. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：1879 / 1885

页数：7

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