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

共 50 条

[21] Isolated periodic wave trains in a generalized Burgers-Huxley equation
Wang, Qinlong
Xiong, Yu'e
Huang, Wentao
Romanovski, Valery G.
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (04)
[22] Convergence rate toward shock wave under periodic perturbation for generalized Korteweg-de Vries-Burgers equation
Chang, Lin
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, 80
[23] Dynamics and control of the modified generalized Korteweg-de Vries-Burgers equation with periodic boundary conditions
Smaoui, Nejib
Al Jamal, Rasha
[J]. NONLINEAR DYNAMICS, 2021, 103 (01) : 987 - 1009
[24] Periodic Wave Solution of the Generalized Burgers–Fisher Equation via Abelian Integral
Huiyang Zhang
Yonghui Xia
[J]. Qualitative Theory of Dynamical Systems, 2022, 21
[25] Well-posedness and regularity of the generalized Burgers equation in periodic Gevrey spaces
Holmes, John
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 454 (01) : 18 - 40
[26] Dynamics of Travelling Waves to KdV–Burgers–Kuramoto Equation with Marangoni Effect Perturbation
Ke Wang
Shuting Chen
Zengji Du
[J]. Qualitative Theory of Dynamical Systems, 2022, 21
[27] Solution of the Generalized Burgers Equation Using Homotopy Perturbation Method with General Fractional Derivative
Alqahtani, Awatif Muflih
[J]. SYMMETRY-BASEL, 2023, 15 (03):
[28] Single peak solitary wave solutions for the generalized KP-MEW (2,2) equation under boundary condition
Wei, Minzhi
Tang, Shengqiang
Fu, Hualiang
Chen, Guangxi
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 8979 - 8990
[29] Influence of External Periodic Force On Ion Acoustic Waves in a Magnetized Dusty Plasma Through Forced KP Equation and Modified Forced KP Equation
Ashim Roy
Kajal Kumar Mondal
Prasanta Chatterjee
Santanu Raut
[J]. Brazilian Journal of Physics, 2022, 52
[30] Influence of External Periodic Force On Ion Acoustic Waves in a Magnetized Dusty Plasma Through Forced KP Equation and Modified Forced KP Equation
Roy, Ashim
Mondal, Kajal Kumar
Chatterjee, Prasanta
Raut, Santanu
[J]. BRAZILIAN JOURNAL OF PHYSICS, 2022, 52 (03)

← 1 2 3 4 5 →