SOLUTION OF THE PROBLEM OF SCATTERING OF WATER-WAVES BY A NEARLY VERTICAL PLATE

An approximate solution is determined for the problem of scattering of water waves by a nearly vertical plate, by reducing it to two mixed b oundary-value problems (BVP) for Laplace's equation, using perturbatio n techniques. While the solution of one of these BVP is well-known, th e other BVPs is reduced to the problem of solving two uncoupled Rieman n-Hilbert problems, and the complete solution of the problem under con sideration up to first-order accuracy is derived with a special assump tion on the shape of the plate and a related approximation. Known resu lts involving the reflection and transmission coefficients are reprodu ced.