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