Similarity solutions and conservation laws for the Bogoyavlensky-Konopelchenko equation by Lie point symmetries

被引：5
|
作者：
Halder, Amlan K. [1 ]
Leach, P. G. L. [2 ,3 ]
Paliathanasis, Andronikos [2 ,4 ]
机构：
[1] Pondicherry Univ, Dept Math, Kalapet 605014, India
[2] Durban Univ Technol, Inst Syst Sci, POB 1334, ZA-4000 Durban, South Africa
[3] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
[4] Univ Austral Chile, Inst Ciencias Fis & Matemat, Valdivia, Chile
来源：
QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
Lie symmetries; conservation laws; similarity solutions; partial differential equations; travelling waves; PARTIAL-DIFFERENTIAL EQUATIONS; DIRECT CONSTRUCTION METHOD;
D O I：
10.2989/16073606.2020.1748135
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The 1 + 2 dimensional Bogoyavlensky-Konopelchenko equation is investigated for its solution and conservation laws using the Lie point symmetry analysis. In the recent past, certain work has been done describing the Lie point symmetries for the equation and this work seems to be incomplete (S.S. Ray,Computers & Mathematics with Applications74(6) (2017), 1158-1165). We obtained certain new symmetries and corresponding conservation laws. The travelling-wave solution and some other similarity solutions are studied.
引用
收藏
页码：815 / 827
页数：13
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