Bifurcations of traveling wave solutions of a generalized Burgers-Fisher equation

被引：2
|
作者：
Liu, Wenye [1 ]
Han, Maoan [2 ]
机构：
[1] Heze Univ, Sch Math & Stat, Heze 274009, Shandong, Peoples R China
[2] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Zhejiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 533卷 / 02期
关键词：
Burgers-Fisher equation; Traveling wave solution; Lienard system; Limit cycle; EXISTENCE;
D O I：
10.1016/j.jmaa.2023.128012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We deal with the traveling wave solutions (including periodic wave solutions, solitary wave solutions and kink or antikink solutions) of a generalized Burgers-Fisher equation via studying the dynamics of a related Lienard system. We obtain necessary and sufficient conditions for the Lienard system to have a unique limit cycle, a homoclinic loop and a heteroclinic loop, respectively.(c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页数：23
相关论文
共 50 条
  • [31] MULTIPLE SOLITON SOLUTIONS FOR THE NAGUMO EQUATION AND THE MODIFIED GENERAL BURGERS-FISHER EQUATION
    Abdusalam, H. A.
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2006, 3 (03) : 371 - 381
  • [32] BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR A GENERALIZED CAMASSA-HOLM EQUATION
    Wei, Minzhi
    Sun, Xianbo
    Zhu, Hongying
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (06): : 1851 - 1862
  • [33] Bifurcations of traveling wave solutions for a generalized Sinh-Gordon equation
    Tang, Yaning
    Xu, Wei
    Shen, Jianwei
    Gao, Liang
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (06) : 1048 - 1055
  • [34] Bifurcations of traveling wave solutions in generalized Pochhammer-Chree equation
    Li, JB
    Zhang, LJ
    CHAOS SOLITONS & FRACTALS, 2002, 14 (04) : 581 - 593
  • [35] Bifurcations and Exact Traveling Wave Solutions for the Generalized Alexeyev's A± Equation
    Zhou, Yan
    Zhuang, Jinsen
    Li, Jibin
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2025, 24 (01)
  • [36] Nonstandard finite-difference scheme to approximate the generalized Burgers-Fisher equation
    Namjoo, Mehran
    Zeinadini, Mehdi
    Zibaei, Sadegh
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 8212 - 8228
  • [37] A lattice Boltzmann model for the Burgers-Fisher equation
    Zhang, Jianying
    Yan, Guangwu
    CHAOS, 2010, 20 (02)
  • [38] AN IMPROVED SECOND-ORDER NUMERICAL METHOD FOR THE GENERALIZED BURGERS-FISHER EQUATION
    Bratsos, A. G.
    ANZIAM JOURNAL, 2013, 54 (03): : 181 - 199
  • [39] On the convergence of a nonlinear finite-difference discretization of the generalized Burgers-Fisher equation
    Szafranska, Anna
    Macias-Diaz, J. E.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2015, 21 (04) : 374 - 382
  • [40] BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS FOR THE GENERALIZED NONLINEAR SCHRODINGER EQUATION WITH WAVE OPERATOR
    Chen, Quting
    Shang, Yadong
    Di, Huafei
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (01): : 336 - 346
12345