Abstract

Recent results of Davies et al. [Phys. Fluids A 1, 1331 (1989)], which cast the problem of scattering of long surface waves by sinusoidal bed undulations into a Mathieu equation, are extended here to include the case of dispersive, intermediate depth waves. The present formulation is restricted to linear monochromatic wave motions and the bed undulation amplitude is assumed to be small relative to the total water depth.

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