Stable autosolitons in dispersive media with saturable gain and absorption

Details Stable autosolitons in dispersive media with saturable gain and absorption Stable autosolitons in dispersive media with saturable gain and absorption

2000-09-04

arxiv.org/abs/nlin/0009011v1

Nonlinear Sciences

Pattern Formation and Solitons

A latex text file and four ps files with figures. Physics Letters A, in press

Scientific paper

10.1016/S0375-9601(00)00541-7

We introduce the simplest one-dimensional model of a dispersive optical medium with saturable dissipative nonlinearity and filtering (dispersive loss) which gives rise to stable solitary pulses (autosolitons). In the particular case when the dispersive loss is absent, the same model may also be interpreted as describing a stationary field in a planar optical waveguide with uniformly distributed saturable gain and absorption. In a certain region of the model's parameter space, two coexisting solitary-pulse solutions are found numerically, one of which may be stable. Solving the corresponding linearized eigenvalue problem, we identify stability borders for the solitary pulses in their parametric plane. Beyond one of the borders, the symmetric pulse is destroyed by asymmetric perturbations, and at the other border it undergoes a Hopf bifurcation, which may turn it into a breather.

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