Symmetry Solutions and Conserved Vectors of the Two-Dimensional Korteweg-de Vries Equation

被引：0

作者：

Plaatjie K. ^{[1
]}

Motsepa T. ^{[2
]}

Johnpillai A.G. ^{[3
]}

Khalique C.M. ^{[1
,4
]}

机构：

[1] International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho

[2] School of Computing and Mathematical Sciences, University of Mpumalanga, Private Bag X11283, Mbombela

[3] Department of Mathematics, Eastern University, Sri Lanka, Chenkaladi

[4] Department of Mathematics and Informatics, Azerbaijan University, Jeyhun Hajibeyli str., 71, Baku

来源：

International Journal of Applied and Computational Mathematics | 2022年 / 8卷 / 5期

关键词：

Conservation laws; Exact solution; Lie point symmetries; Multiplier method; Two-dimensional Korteweg-de Vries equation;

D O I：

10.1007/s40819-022-01428-9

中图分类号：

学科分类号：

摘要：

We study the two-dimensional constant coefficients Korteweg-de Vries equation, which was established not long ago in the literature. We construct group-invariant solutions and conservation laws for this equation. Lie group method is applied and the Lie point symmetries are derived. We show how one can derive travelling waves symmetry solutions given in respect of the Weierstrass-zeta and hyperbolic functions using its symmetries. Furthermore, we present infinite number of conservation laws of the underlying equation obtained by means of the multiplier approach. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.

引用

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