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PERSISTENT HOMOCLINIC ORBITS FOR A PERTURBED CUBIC-QUINTIC NONLINEAR SCHROEDINGER EQUATION 被引量:2
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作者 GuoBoling ChenHanlin 《Journal of Partial Differential Equations》 2002年第2期6-36,共31页
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 spe... 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. 展开更多
关键词 同宿轨 非线性SCHROEDINGER方程 存在性 几何奇异扰动理论 Melnikov分析 持久性 可移理论 正则性 稳定流形
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