Zakharov–Manakov solution of the stimulated Brillouin backscattering generator problem for non-rectangular envelopes

Abstract

Making use of the inverse scattering transform method (ISTM), we have solved the Zakharov–Manakov problem for the stimulated Brillouin backscattering of a laser pulse by an acoustic fluctuation for a situation where the envelopes are non-rectangular. We have chosen input potentials which simulate rapidly rising pulses with exponentially decaying tails. The extension of the analysis to other input shapes is discussed.