Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

The reflection of short gravity waves on a non-uniform current

Ronald Smitha1

a1 Department of Applied Mathematics and Theoretical Physics, University of Cambridge


A uniform asymptotic solution is obtained which describes the propagation near an isolated caustic of water waves on a slow irrotational current. Unlike earlier work there is no restriction to straight caustics or to steady currents.

(Received September 25 1974)