Abstract
Abstract We investigate analytically and numerically the soliton modes of laser pulse propagation in a media with one-photon photoluminescence. A mathematical model of the process under consideration is derived on the base of a semi-classical approach. As a result, the basic wave and the luminescence wave is described by coupled nonlinear Schrodinger equations. The soliton modes of waves propagation are found out by using nonlinear eigenvalue problem which allows us to write a number of exact analytical solutions: the bright soliton with zero or nonlinear chirp, or periodic cnoidal waves, or singular periodic solution, which can be treated as dark soliton on a bounded time interval. Among them we stress an existence of nonlinear chirped elliptic solitons, propagating on a CW background, as well as bistable mode, which involves two families of soliton with chirp being reciprocally proportional to the pulse intensity– the soliton propagating on a CW background and the dark (singular) soliton. All analytical results are confirmed by computer simulation results.
Published Version
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