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.
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收藏
页数：8
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