Geodesic
Solitary waves for a coupled nonlinear Schrödinger system with dispersion management
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35Q53, 47J353
Keywords: Schrödinger equations, dispersion management, solitary waves 
@article{EJDE_2010__2010__a74,
     author = {Panayotaros, Panayotis and Sepulveda, Mauricio and Vera, Octavio},
     title = {Solitary waves for a coupled nonlinear {Schr\"odinger} system with dispersion management},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a74/}
}
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Panayotaros, Panayotis; Sepulveda, Mauricio; Vera, Octavio. Solitary waves for a coupled nonlinear Schrödinger system with dispersion management. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a74/