Exact Bright and Dark Spatial Soliton Solutions in Saturable Nonlinear Media

preprint2008arXivOpen access

Abstract

We present exact analytical bright and dark (black and grey) solitary wave solutions of a nonlinear Schrodinger-type equation describing the propagation of spatial beams in media exhibiting a saturable nonlinearity (such as centrosymmetric photorefractive materials). A qualitative study of the stationary equation is carried out together with a discussion of the stability of the solutions.

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