Persistent Homoclinic Orbits for Nonlinear Schroedinger Equation Under Singular Perturbation

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dc.creatorLi, Yanguang Charles
dc.date2001-06-22
dc.date.accessioned2026-07-07T04:42:16Z
dc.date.available2026-07-07T04:42:16Z
dc.descriptionExistence of homoclinic orbits in the cubic nonlinear Schrödinger equation under singular perturbations is proved. Emphasis is placed upon the regularity of the semigroup $e^{\e t \pa_x^2}$ at $\e = 0$. This article is a substantial generalization of \cite{LMSW96}, and motivated by the effort of Dr. Zeng \cite{Zen00a} \cite{Zen00b}. The mistake of Zeng in \cite{Zen00b} is corrected with a normal form transform approach. Both one and two unstable modes cases are investigated.
dc.description43 pages
dc.identifierhttps://arxiv.org/abs/math/0106194
dc.identifierhttp://arxiv.org/abs/math/0106194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61711
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.titlePersistent Homoclinic Orbits for Nonlinear Schroedinger Equation Under Singular Perturbation
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