二阶常系数线性偏微分方程求解定理  

The Solving Theorem of Second Order Constant Coefficient Linear Partial Differential Equation

作　　者：李志强[1] 王显春[1] 钟太勇[1] 

机构地区：[1]云南民族大学数学与计算机科学学院,昆明650031

出　　处：《合肥学院学报（自然科学版）》2008年第1期25-28,共4页Journal of Hefei University :Natural Sciences

摘　　要：两个自变量的二阶常系数偏微分方程auxx+2buxy+cuyy+dux+euy+g=0,当系数满足一定条件时,可利用变换T:ξ=φ(x,y),η=(x,y)化为简单微分方程求解,结合所定条件给出了判定定理和应用方法.Abstract：There is the second order constant coefficient linear patial differential equation with two variables auxx＋2buxy＋cuyy＋dux＋euy＋g=0. When its coefficients satisfy given conditions, we can utilize the transformations T：ξ=φ（x,y）,η=Ф（x,y） to make it as first simple ordinary differential equation for solving. At the same time, we give the discrimination theorem and application method.

关 键 词：偏微分方程 特征线 特征方程 

分 类 号：O175.23[理学—数学]