Abstract

This paper investigates class-I Bragg resonance of progressive waves obliquely propagating over an infinitely extended bed by means of the homotopy analysis method (HAM). Multiple steady-state solutions representing the equilibrium states of the transmitted and reflected waves are found. Further, the resonant wave component can have wave energy larger or smaller than the primary one. Meanwhile, it can also share the wave energy equally with the primary one. In particular, there are bifurcations for the multiple steady-state solutions.

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