Lie group symmetry classification of solutions to coupled nonlinear Schrödinger equations

Vladimir I. Pulov; Ivan M. Uzunov; Edy J. Chacarov; Valentin L. Lyutskanov

doi:10.1117/12.726994

5 March 2007 Lie group symmetry classification of solutions to coupled nonlinear Schrodinger equations

Vladimir I. Pulov, Ivan M. Uzunov, Edy J. Chacarov, Valentin L. Lyutskanov

Proceedings Volume 6604, 14th International School on Quantum Electronics: Laser Physics and Applications; 66041K (2007) https://doi.org/10.1117/12.726994
Event: 14th International School on Quantum Electronics: Laser Physics and Applications, 2006, Sunny Beach, Bulgaria

Abstract

By applying the Lie group reduction method a full symmetry classification of one parameter group invariant solutions of two coupled nonlinear Schrodinger equations is presented. The physical situations under consideration include propagation of two polarization modes in weak and strong birefringent fibers, propagation of two waves at different carrier wavelengths, and nonlinear directional couplers.

Citation Download Citation

Vladimir I. Pulov, Ivan M. Uzunov, Edy J. Chacarov, and Valentin L. Lyutskanov "Lie group symmetry classification of solutions to coupled nonlinear Schrodinger equations", Proc. SPIE 6604, 14th International School on Quantum Electronics: Laser Physics and Applications, 66041K (5 March 2007); https://doi.org/10.1117/12.726994

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