Electron. J. Diff. Equ.,
Vol. 2010(2010), No. 07, pp. 119.
Orbital stability of periodic travelling waves for coupled
nonlinear Schrodinger equations
Ademir Pastor
Abstract:
This article addresses orbital stability of periodic
travellingwave solutions for coupled nonlinear Schrodinger
equations. We prove the existence of smooth curves of
periodic travellingwave solutions depending on the dnoidaltype
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
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Ademir Pastor Ferreira
IMPA, Estrada Dona Castorina 110
CEP 22460320, Rio de Janeiro, RJ, Brazil
email: apastor@impa.br

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