The problem of solving equations for a class of coupled wave equations
with initial-boundary conditions is discussed by using the results for
the problem with initial value in this paper. A coupled wave equations
which defined in semi-infinite interval and finite interval are studied
respectively, the d'Alembert type traveling wave solutions with finite
closed form of the corresponding problems are obtained and the examples
are given. This research generalize the corresponding results for single
wave equation and .avoid the traditional Fourior series solution.