Three-Wave Resonant Interactions in Self-Defoucsing OpticalMedia
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Abstract
A three-wave resonant interaction for nonlinear excitations created from a continuous-wave background is shown to be possible in a isotropic optical medium with a self-defocusing cubic nonlinearity. Under suitable phase-matching conditions the nonlinear envelope equations for the resonant interaction are derived by using a method of multiple-scales. Some explicit three-wave solitary wave and lump solutions are discussed.
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