Abstract
ABSTRACT The methodology based on the quasi-soliton concept provides for a systematic way to discoveran infinite number of the novel stable bright and dark soliton management regimes for the nonlinearcubic-quintic Schrodinger equation model with varying dispersion, nonlinearity and gain or absorption.Q uasi-soliton solutions for this model must be of rather general character than canonical solitons ofstandard nonlinear Schrodinger equation model, because the generalized model takes into account thesaturation nonlinear effect and arbitrary variations of group velocity dispersion, nonlinearity and gainor absorption. Novel topological and nontopological quasi-soliton solutions for the nonlinear cubic-quintic Schrodinger equation model have been discovered. It is shown that, today, the most attractivemedia to discover novel topological quasi-solitons are organic thin films and polymeric waveguides.Keywords: solitons, cubic-quintic nonlinear Schrodinger equation model, dispersion soliton man-agement.
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