PERSISTENT HOMOCLINIC ORBITS FOR A PERTURBED CUBIC－QUINTIC NONLINEAR SCHROEDINGER EQUATION

摘要

In this paper ,the existence of homoclinic orbits,for a perturbed cubic-quintic nonlinear Schroedinger equation with even periodic boundary conditions ,under the geralized parameters conditions is established.More specifically,we combine geometric singular perturbation theory,with ,Melnikov analysis and integrable theory to prove the persistences of homoclinic orbits.