Abstract

We discuss a novel class of self-guided beams ( spatial optical solitons) that can propagate in a uniform nonlinear medium with nonmonotonic change of the refractive index. All previously reported bright solitons have fields which decay to zero far from the beam centre, whereas the bright solitons we discuss here have flat “tails” (nonvanishing background) and a nontrivial phase variation resembling that of a dark self-guided beam of a self-defocusing medium. The physical origin of these “unbounded bright solitons” is explained by their induced waveguides which have the characteristics of the W refractive index profile. Exact results are presented for competing cubic-quintic nonlinearity. The stability of these unbounded bright solitons and their robustness against collisions are also investigated.

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