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.
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页数：23
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