Exact Solutions and Conservation Laws of a Two-Dimensional Integrable Generalization of the Kaup-Kupershmidt Equation

被引：7

作者：

Adem, Abdullahi Rashid ^{[1
]}

Khalique, Chaudry Masood ^{[1
]}

机构：

[1] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, ZA-2735 Mmabatho, South Africa

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

关键词：

PARTIAL-DIFFERENTIAL-EQUATIONS; SOLITARY WAVE SOLUTIONS; CONSTRUCTION; SYMMETRIES; EVOLUTION;

D O I：

10.1155/2013/647313

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a two-dimensional integrable generalization of the Kaup-Kupershmidt equation, which arises in various problems in mathematical physics. Exact solutions are obtained using the Lie symmetry method in conjunction with the extended tanh method and the extended Jacobi elliptic function method. In addition to exact solutions we also present conservation laws which are derived using the multiplier approach.

引用

页数：6

共 24 条

[1]

Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering

[2] Direct construction method for conservation laws of partial differential equations - Part I: Examples of conservation law classifications [J].