扰动Boussinesq方程的近似守恒律  

Approximate conservation laws of perturbed Boussinesq equation

作　　者：贺欢[1] 张颖[1] 李浩荣[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纯粹数学与应用数学》2010年第5期728-734,共7页Pure and Applied Mathematics

摘　　要：构造了具有扰动项的Boussinesq方程的近似守恒向量和近似守恒律.在方程允许拉格朗日函数的情况下,利用欧拉方程的部分拉格朗日函数方法,研究了含有一阶线性组合扰动项的Boussineq方程的近似守恒律.给出了该方程的近似守恒向量及近似守恒律的分类结果.We show how one can construct approximate conserved vectors and conservation laws for perturbed Boussinesq equation. In terms of the partial Lagrangian approach, we consider the perturbed Boussinesq equation with first order linear combination perturbation nuchal via approximate Noether-type symmetry operators associatied with partial Lagrangian function and construct approximate conservation laws. Then, we obtain classification results of approximate conservation laws of the perturbed partial differential equation.

关 键 词：扰动Boussinesq方程 近似Nother—type对称算子 部分拉格朗日函数 守恒律 欧拉方程 

分 类 号：O175.29[理学—数学]