PERSISTENT HOMOCLINIC ORBITS FOR A PERTURBED NONLINEAR SCHRODINGER EQUATION

The persistence of homoclinic orbits for certain perturbations of the integrable nonlinear Schrodinger equation under even periodic boundary conditions is established. More specifically, the existence of a symmetric pair of homoclinic orbits is established for the perturbed NLS equation through an argument that combines Melnikov analysis with a geometric singular perturbation theory for the PDE. © 1996 John Wiley & Sons, Inc.

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