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偏微分方程(组)守恒律的分类及吴方法的应用
引用本文:田毅,特木尔朝鲁.偏微分方程(组)守恒律的分类及吴方法的应用[J].内蒙古大学学报(自然科学版),2010,41(2).
作者姓名:田毅  特木尔朝鲁
作者单位:1. 内蒙古工业大学理学院,呼和浩特,010051
2. 上海海事大学应用数学物理所,上海,200135
基金项目:内蒙古自然科学基金重点项目(No.200607010103)
摘    要:使用直接产生法来对含参数的偏微分方程(组)进行守恒律分类,这个过程可转化为求解一个线性确定方程组,该方程组一般比较大,难于求解,可利用微分形式吴方法解决该问题.

关 键 词:微分形式吴方法  守恒律分类  直接产生法  

Conservation Law Classification of Partial Differential Equations and The Application of Wu's Method
TIAN Yi,Temuerchaolu.Conservation Law Classification of Partial Differential Equations and The Application of Wu's Method[J].Acta Scientiarum Naturalium Universitatis Neimongol,2010,41(2).
Authors:TIAN Yi  Temuerchaolu
Institution:1.College of Sciences/a>;Inner Mongolia University of Technology/a>;Hohhot/a>;010051/a>;2.Institute of Applied Mathematics and Physics/a>;Shang hai Maritime University/a>;Shang hai/a>;200135
Abstract:A direct construction method is used to complete the conservation law classification of partial differential equations with parameters.This process can be reduced to solve a system of linear determining equations,which is large and difficult to solve.This problem can be solved by differetial form of Wu's method.
Keywords:differential form of Wu's method  conservation law classification  direct construction method  
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