arXiv:math/0205113 Abstract

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Singularly Perturbed Vector and Scalar Nonlinear Schroedinger Equations with Persistent Homoclinic Orbits

Published 2002-05-10Version 1

Singularly perturbed vector nonlinear Schroedinger equations (PVNLS) are investigated. Emphasis is placed upon the relation with their restriction: The singularly perturbed scalar nonlinear Schroedinger equation (PNLS) studied earlier by Li. It turns out that the persistent homoclinic orbit for the PNLS is the only one for the PVNLS, asymptotic to the same saddle.

Journal: Studies in Applled Mathematics, 2002, current issue

Categories: math.AP, math-ph, math.DS, math.MP

Keywords: scalar nonlinear schroedinger equation, persistent homoclinic orbit, singularly perturbed vector, vector nonlinear schroedinger equations, perturbed scalar nonlinear schroedinger

Tags: journal article

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arXiv:math/0205113 [math.AP]Abstract References Reviews Resources

Singularly Perturbed Vector and Scalar Nonlinear Schroedinger Equations with Persistent Homoclinic Orbits

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Singularly Perturbed Vector and Scalar Nonlinear Schroedinger Equations with Persistent Homoclinic Orbits

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arXiv:math/0205113 [math.AP]Abstract References Reviews Resources