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

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

2002-05-10

arxiv.org/abs/math/0205113v1

Studies in Applled Mathematics, 2002, current issue

Mathematics

Analysis of PDEs

Scientific paper

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.

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