Traveling Wave Solutions of a Generalized Burgers-αβ Equation

被引：0
|
作者：
Zhu, Wenjing [1 ,2 ]
Xia, Yonghui [1 ]
机构：
[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China
[2] China Jiliang Univ, Dept Math, Langzhou 310018, Zhejiang, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2022年 / 21卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Bifurcation; Phase portrait; Solitary wave solution; Peakon solution; WATER-WAVES; SOLITARY; CLASSIFICATION; BIFURCATIONS; STABILITY; DYNAMICS; MODEL;
D O I：
10.1007/s12346-021-00558-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the bifurcations and exact traveling wave solutions of a generalized Burgers-alpha beta equation. Employing the bifurcation theory of planar dynamical system, we obtain the phase portraits of the corresponding traveling wave system. The existence of the singular straight line phi = c leads to the dynamical behavior of solutions with two scales. Corresponding to some special level curves, we give the exact explicit parametric representations of smooth and non-smooth solutions under different parameter conditions, including solitary wave solutions and peakon solutions.
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页数：11
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