The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Research Article

A unified approach to problems of scattering of surface water waves by vertical barriers

A. Chakrabartia1, Sudeshna Banerjeaa2, B. N. Mandala3 and T. Sahooa1

a1 Department of Mathematics, Indian Institute of Science Bangalore 560 012, India

a2 Department of Mathematics, Jadavpur University Calcutta 700032, India

a3 Physics and Applied Mathematics Unit, Indian Statistical Institute, Calcutta 700035, India

Abstract

A unified analysis involving the solution of multiple integral equations via a simple singular integral equation with a Cauchy type kernel is presented to handle problems of surface water wave scattering by vertical barriers. Some well known results are produced in a simple and systematic manner.

(Received October 20 1994)

(Revised December 01 1995)