构造(2+1)维扰动Boussinesq方程的近似守恒律  

Constructing approximate conservation laws for perturbed (2+1)-dimensional Boussinesq equation

作　　者：王倩[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纺织高校基础科学学报》2013年第4期445-449,共5页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10671156)

摘　　要：利用近似Noether-type对称算子构造了具有扰动项的(2+1)维Boussinesq方程的近似守恒向量和近似守恒律,在(2+1)维Boussinesq方程允许的拉格朗日函数的情况下,利用近似Noether法研究了该方程的守恒律,给出了(2+1)维扰动Boussinesq方程的近似Noether对称算子、近似守恒向量以及近似守恒律.The method of constructing approximate conserved vectors and conserved laws for perturbed （2 ＋1）-dimensional Boussinesq equation are concretely described. In terms of the partial Lagrangian ap- proach, the conserved laws are constructed by using approximate Noether method, then the approximate Noether-type symmetry operators and approximate conserved laws are obtained.

关 键 词：(2+1)维扰动Boussinesq方程 近似Noether对称算子 拉格朗日函数 守恒律 

分 类 号：O175.2[理学—数学]