【摘要】 对一维非齐次波动方程的始值问题在传统的叠加原理、达朗贝尔公式、齐次化原理的方法之外,完全用特征线方法,先将方程表示为a)(a)u f(x,t)t x t x(??+???????=的形式,进而引入中间变量Vu a u=??t???x,得以用一阶方程??tυ+a??υx=f(x,t)及??ut?a??xu=V(x,t)的特征线方法,推导出维该始植问题的与传统方法相同的解。更多还原

【Abstract】 Beyond the usual method,the one dimensional equation was expressed in the form ofa)(a)u f(x,t)t x t x(? ? + ?? ?? ? ??=,which then was introduced by middle varible ??u t ? a ??x u=V(x,t),so that the same solution of initial value problem by the characteristic curve method of the first order equations a f x tt x(? ? +??)=(,) and(? ?u t ?a ??ux)= V(x,t) was abtained.更多还原