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
相关论文
共 50 条
  • [1] Dynamical Behavior of Traveling Wave Solutions for a (2+1)-Dimensional Bogoyavlenskii Coupled System
    Temesgen Desta Leta
    Wenjun Liu
    Abdelfattah El Achab
    Hadi Rezazadeh
    Ahmet Bekir
    Qualitative Theory of Dynamical Systems, 2021, 20
  • [2] On new closed form solutions: The (2+1)-dimensional Bogoyavlenskii system
    Tariq, Kalim U.
    Zabihi, Ali
    Rezazadeh, Hadi
    Younis, Muhammad
    Rizvi, S. T. R.
    Ansari, Reza
    MODERN PHYSICS LETTERS B, 2021, 35 (09):
  • [3] General soliton solutions in a coupled (2+1)-dimensional wave system
    Hai, WH
    Xiao, Y
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 1998, 113 (10): : 1279 - 1285
  • [4] Exact solutions and soliton excitations for the (2+1)-dimensional Bogoyavlenskii-Schiff system
    Zeng Wen-Li
    Ma Song-Hua
    Ren Qing-Bao
    ACTA PHYSICA SINICA, 2012, 61 (11)
  • [5] Phase portraits and new exact traveling wave solutions of the (2+1)-dimensional Hirota system
    Shaikhova, Gaukhar
    Kutum, Bayan
    Syzdykova, Arailym
    RESULTS IN PHYSICS, 2023, 55
  • [6] Bifurcation, Traveling Wave Solutions and Dynamical Analysis in the (2+1) -Dimensional Extended Vakhnenko-Parkes Equation
    Sun, Yan
    Wu, Juan-Juan
    Wen, Xiao-Yong
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2024, 31 (01)
  • [7] New and more exact traveling wave solutions to integrable (2+1)-dimensional Maccari system
    Cheemaa, Nadia
    Younis, Muhammad
    NONLINEAR DYNAMICS, 2016, 83 (03) : 1395 - 1401
  • [8] New and more exact traveling wave solutions to integrable (2+1)-dimensional Maccari system
    Nadia Cheemaa
    Muhammad Younis
    Nonlinear Dynamics, 2016, 83 : 1395 - 1401
  • [9] Phase transitions of lump wave solutions for a (2+1)-dimensional coupled Maccari system
    Ma, Yu-Lan
    Li, Bang-Qing
    EUROPEAN PHYSICAL JOURNAL PLUS, 2024, 139 (01):
  • [10] Phase transitions of lump wave solutions for a (2+1)-dimensional coupled Maccari system
    Yu-Lan Ma
    Bang-Qing Li
    The European Physical Journal Plus, 139
12345