Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 107, pp. 1-26.

Title: Solitary waves for a coupled nonlinear Schrodinger
       system with dispersion management
       
Authors: Panayotis Panayotaros (IIMAS-UNAM, Mexico)
         Mauricio Sepulveda (Univ. de Concepcion, Chile)
	 Octavio Vera (Univ. del Bio-Bio, Chile)

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 05, 2010.
Math Subject Classifications: 35Q53, 47J353.
Key Words: Schrodinger equations; dispersion management; solitary waves