Frequency down-shift through self modulation and breaking

Abstract

Simulates the development of a moderately steep wave train using evolution equations correct to fourth order in the wave steepness with an added term simulating the effects of wave breaking. Considers the stability properties of the nonlinear Schrodinger equation used, and presents simulations of two different initial wave profiles. Breaking damps the developing sidebands selectively. Shows how a damping model can reproduce this behaviour of the most unstable lower sideband coming out of the modulation-breaking process as the most dominant one. (C.J.U.)