Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 07, pp. 1-19.

Title: Orbital stability of periodic travelling waves for coupled
       nonlinear Schrodinger equations
       
Author: Ademir Pastor (IMPA, Rio de Janeiro, Brazil)

Abstract:
 This article addresses orbital stability of periodic
 travelling-wave solutions for coupled nonlinear Schrodinger
 equations. We prove the existence of smooth curves of
 periodic travelling-wave solutions depending on the dnoidal-type
 functions. Orbital stability analysis is developed in the context
 of Hamiltonian systems. We consider both the stability problem
 by periodic perturbations which have the same fundamental period
 as the corresponding periodic wave and the stability problem by
 periodic perturbations having two or more times the minimal period
 as the corresponding periodic wave.
 
Submitted July 26, 2008. Published January 13, 2010.
Math Subject Classifications: 76B25, 35Q55, 35Q51.
Key Words: Schrodinger equation; periodic travelling waves;
           orbital stability