We investigate the existence of solutions of the one-dimensional wave system $$u_{tt}-u_{xx}+{mu}g(u+v)=f(u+v);;in;(-frac{pi}{2},frac{pi}{2}){ imes}R,\v_{tt}-v_{xx}+{ u}g(u+v)=f(u+v);;in;(-frac{pi}{2},frac{pi}{2}){ imes}R,$$ with Dirichlet boundary condition. We find them by applying linking inequlaities.