The persistence of homoclinic orbits for certain perturbations of the integrable nonlinear Schrödinger 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.
|Original language||English (US)|
|Number of pages||81|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Nov 1996|
ASJC Scopus subject areas
- Applied Mathematics