Geodesic
Solitary waves for a coupled nonlinear Schrödinger system with dispersion management
Electronic journal of differential equations, Tome 2010 (2010)
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},
     year = {2010},
     volume = {2010},
     zbl = {1196.35201},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a74/}
}
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AU  - Vera,  Octavio
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%A Vera,  Octavio
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%J Electronic journal of differential equations
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%F EJDE_2010__2010__a74
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/