Two light modes propagation in nonlinear media with negative cross-phase modulation via Lie group analysis

Vladimir I. Pulov; Ivan M. Uzunov; Edy J. Chacarov

doi:10.1117/12.618416

22 April 2005 Two light modes propagation in nonlinear media with negative cross-phase modulation via Lie group analysis

Vladimir I. Pulov, Ivan M. Uzunov, Edy J. Chacarov

Author Affiliations +

Proceedings Volume 5830, 13th International School on Quantum Electronics: Laser Physics and Applications; (2005) https://doi.org/10.1117/12.618416
Event: 13th International School on Quantum Electronics: Laser Physics and Applications, 2004, Bourgas, Bulgaria

Abstract

Two coupled nonlinear Schrodinger equations describing propagation of light pulses through nonlinear media with negative cross-phase modulation and different group-velocity dispersion regions for the two polarization modes are considered. Applying a Lie group technique, the most general Lie algebra and the corresponding Lie group of point symmetries permitted by the considered equations are derived. As a result, the optimal set of one-dimensional Lie algebras is obtained.

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Vladimir I. Pulov, Ivan M. Uzunov, and Edy J. Chacarov "Two light modes propagation in nonlinear media with negative cross-phase modulation via Lie group analysis", Proc. SPIE 5830, 13th International School on Quantum Electronics: Laser Physics and Applications, (22 April 2005); https://doi.org/10.1117/12.618416

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