On the similarity reduction solutions of the Bogoyavlenskii equation

被引：1
|
作者：
Yue, Yunfei [1 ]
Huang, Lili [2 ]
机构：
[1] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China
[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 131卷
基金：
中国国家自然科学基金;
关键词：
Nonlocal symmetry; Painleve analysis; Bogoyavlenskii equation; Similarity reduction solution; Soliton-cnoidal wave solution; NONLOCAL SYMMETRY;
D O I：
10.1016/j.aml.2022.108050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we attempt to investigate the nonlocal symmetries and similarity reduction solutions for the Bogoyavlenskii equation. The nonlocal symmetries are obtained by the truncated Painleve expansion and localized to a prolonged system by introducing four auxiliary variables. Then we construct two types similarity reduction solutions. It is observed that some interesting soliton-cnoidal wave solutions can be generated. We further discuss their asymptotic behaviors both in analytical and in graphical ways. (c) 2022 Elsevier Ltd. All rights reserved.
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