Abstract
The nonliear three-wave interaction is ubiquitous, having many physical manifestations. The conservative equations are integrable by inverse scattering transforms and can possess soliton solutions. Two nonintegrable three-wave models were numerically simulated. Spatiotemporal chaos, where coherent structures evolve and interact chaotically, was observed in the long time, large system limit. Correlation functions were measured. The behaviour was analysed by using perturbation theory around the inverse scattering transform solutions of the nonperturbed integrable equations. Saturation amplitudes, correlation times and lengths were estimated.
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