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

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Homoclinic orbit perturbed cubic-quintic nonlinear Schrodinger equation geometric singular perturbation theory Melnikov analysis.
• 年，卷（期）: 2002,（2）
• 页码范围: 6-36
• 页数: 31页
• 分类号: O175.29
• 语种: 英文

摘要

In this paper, the existence of homoclinic orbits, for a perturbed cubicquintic nonlinear Schrodinger equation with even periodic boundary conditions, under the generalized parameters conditions is established. More specifically, we combine geometric singular perturbation theory with Melnikov analysis and integrable theory to prove the persistence of homoclinic orbits.