Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation

被引：9

作者：

Moleleki, Letlhogonolo Daddy ^{[1
]}

Khalique, Chaudry Masood ^{[1
]}

机构：

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

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

NONLINEAR-WAVE EQUATIONS; DIFFERENTIAL-EQUATIONS; SOLITARY WAVES; SYMMETRIES;

D O I：

10.1155/2013/548975

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensional Boussinesq equation. For the first time Lie symmetry method together with simplest equation method is used to find the exact solutions of the (2+1)-dimensional Boussinesq equation. Furthermore, the new conservation theorem due to Ibragimov will be utilized to construct the conservation laws of the (2+1)-dimensional Boussinesq equation.

引用

页数：8

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