Chakrabarti, A. & Sahoo, T. Proc. Indian Acad. Sci. (Math. Sci.) (1997) 107: 89. doi:10.1007/BF02840476
The problems of obliquely incident surface water waves against a vertical cliff have been handled in both the cases of water of infinite as well as finite depth by straight-forward uses of appropriate Havelock-type expansion theorems. The logarithmic singularity along the shore-line has been incorporated in a direct manner, by suitably representing the Dirac’s delta function.
Water wavelogarithmic singularityDirac’s delta function