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Proceedings Paper

Lie group symmetry classification of solutions to coupled nonlinear Schrödinger equations
Author(s): Vladimir I. Pulov; Ivan M. Uzunov; Edy J. Chacarov; Valentin L. Lyutskanov
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Paper 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.

Paper Details

Date Published: 5 March 2007
PDF: 5 pages
Proc. SPIE 6604, 14th International School on Quantum Electronics: Laser Physics and Applications, 66041K (5 March 2007); doi: 10.1117/12.726994
Show Author Affiliations
Vladimir I. Pulov, Technical Univ.-Varna (Bulgaria)
Ivan M. Uzunov, Technical Univ.-Sofia (Bulgaria)
Edy J. Chacarov, Varna Free Univ. (Bulgaria)
Valentin L. Lyutskanov, Technical Univ.-Varna (Bulgaria)

Published in SPIE Proceedings Vol. 6604:
14th International School on Quantum Electronics: Laser Physics and Applications
Peter A. Atanasov; Tanja N. Dreischuh; Sanka V. Gateva; Lubomir M. Kovachev, Editor(s)

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