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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
Affiliation: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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