Dynamical Behavior of Traveling Wave Solutions for a (2+1)-Dimensional Bogoyavlenskii Coupled System

被引：37
|
作者：
Leta, Temesgen Desta [1 ,2 ]
Liu, Wenjun [1 ]
El Achab, Abdelfattah [3 ]
Rezazadeh, Hadi [4 ]
Bekir, Ahmet [5 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, 219 Ningliu Rd, Nanjing 210044, Peoples R China
[2] Dilla Univ, Dept Math, Dilla 419, Ethiopia
[3] Univ Cadi Ayyad Bd du Prince Moulay Abdellah, Fac Sci, Dept Math, BP 2390, Marrakech, Morocco
[4] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran
[5] Imarli St 28-4, TR-26030 Eskisehir, Turkey
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2021年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Solitary wave; Kink and anti-kink wave; Bifurcation; Hamiltonian system; Bogoyavlenskii Coupled System;
D O I：
10.1007/s12346-021-00449-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we applied some computational tools, namely the modified extended tanh method via a Riccati equation, the general Exp(a)-function method and the bifurcation methods to study a nonlinear (2+1)-dimensional Bogoyavlenskii coupled system in thin-film ferroelectric medium to construct exact traveling wave solutions. By applying a classical wave transformation we obtained an ordinary differential equations. As a result, some new traveling wave solutions are obtained including hyperbolic, trigonometric, exponential functions and rational forms. If the parameters take specific values, then the periodic wave, solitary waves, kink and anti-kink wave solutions are derived from the traveling waves. Also, we draw 2D and 3D graphics of exact solutions for the special cases of these nonlinear equations by the help of programming language Maple.
引用
收藏
页数：22
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