Panayotis Panayotaros, Mauricio Sepulveda, Octavio Vera
Abstract:
We consider a system of coupled nonlinear Schrodinger equations
with periodically varying dispersion coefficient that arises in the
context of fiber-optics communication. We use Lions's
Concentration Compactness principle to show
the existence of standing waves with prescribed L^2 norm
in an averaged equation that approximates the coupled system.
We also use the Mountain Pass Lemma to
prove the existence of standing waves with prescribed frequencies.
Submitted April 15, 2009. Published August 5, 2010.
Math Subject Classifications: 35Q53, 47J353.
Key Words: Schrodinger equations; dispersion management; solitary waves
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| Panayotis Panayotaros Depto. Matemáticas y Mecánica, IIMAS-UNAM Apdo. Postal 20-726, 01000 Mexico D.F., Mexico email: panos@mym.iimas.unam.mx | |
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Mauricio Sepúlveda Depto. de Ingeniería Matemática Universidad de Concepción, Chile email: mauricio@ing-mat.udec.cl |
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Octavio Vera Depto. de Matemática Universidad del Bío-Bío, Chile email: overa@ubiobio.cl |
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