一维齐次波动方程cauchy问题的解法

The Methods to Solove the Cauchy Problem of The Unidimensional Wave Equation

一维齐次波动方程是最简单的一种双曲型方程,其中一维波动方程主要可分为两大类:齐次波动方程的cauchy问题和非齐次波动方程的cauchy问题。本文对一维齐次波动方程cauchy问题的解法进行了讨论,求解有以下几种方法:特征线法、算子法。

[Abstract]The unidimensional wave equation is one kind of the simplest hyperbolic equation, In which unidimensional wave equation mainly may divide into two kinds： Homogeneous wave equation cauchy question and inhomogenous wave equation cauchy question. The solution of this text to string vibration cauchy question has been discussed. The methods to solove the problem are as follows： method of characteristics, operator algorithm.