Orbital Stability of Periodic Travelling Waves for Coupled Nonlinear Schrödinger Equations

@inproceedings{Pastor2010OrbitalSO,
  title={Orbital Stability of Periodic Travelling Waves for Coupled Nonlinear Schrödinger Equations},
  author={Ademir Pastor},
  year={2010}
}
This article addresses orbital stability of periodic travelling-wave solutions for coupled nonlinear Schrödinger 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… CONTINUE READING