An application of the inverse scattering method to the 3-wave interaction in nonlinear optics

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Abstract
The inverse scattering method is applied to the study of the stimulated Brillouin backscattering in an amplifier set-up of two light pulses whose envelopes are initially rectangular. The complete temporal and spatial evolution of the two pulses is obtained by analytically solving the Zakharov–Manakov problem under certain assumptions and approximations which may be readily satisfied experimentally.

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