Novel topological quasi-soliton solutions for the nonlinear cubic-quintic Schrodinger equation model

Vladmir N. Serkin; Tatyana L. Belyaeva; Igor V. Alexandrov; Gaston Melo Melchor

doi:10.1117/12.424706

12 April 2001 Novel topological quasi-soliton solutions for the nonlinear cubic-quintic Schrodinger equation model

Vladmir N. Serkin, Tatyana L. Belyaeva, Igor V. Alexandrov, Gaston Melo Melchor

Proceedings Volume 4271, Optical Pulse and Beam Propagation III; (2001) https://doi.org/10.1117/12.424706
Event: Photonics West 2001 - LASE, 2001, San Jose, CA, United States

Abstract

The methodology based on the quasi-soliton concept provides for a systematic way to discover an infinite number of the novel stable bright and dark soliton management regimes for the nonlinear cubic-quintic Schrödinger 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 of standard nonlinear Schrödinger equation model, because the generalized model takes into account the saturation nonlinear effect and arbitrary variations of group velocity dispersion, nonlinearity and gain or absorption. Novel topological and nontopological quasi-soliton solutions for the nonlinear cubicquintic Schrödinger equation model have been discovered. It is shown that, today, the most attractive media to discover novel topological quasi-solitons are organic thin films and polymeric waveguides.

Citation Download Citation

Vladmir N. Serkin, Tatyana L. Belyaeva, Igor V. Alexandrov, and Gaston Melo Melchor "Novel topological quasi-soliton solutions for the nonlinear cubic-quintic Schrodinger equation model", Proc. SPIE 4271, Optical Pulse and Beam Propagation III, (12 April 2001); https://doi.org/10.1117/12.424706

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