Coupled nonlinear Schrodinger systems with potentials

Preprint

1 June 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0506010

Abstract

Coupled nonlinear Schrodinger systems describe some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photorefractive media in optics and Bose-Einstein condensates. In this paper, we study the existence of concentrating solutions of a singularly perturbed coupled nonlinear Schrodinger system, in presence of potentials. We show how the location of the concentration points depends strictly on the potentials.

Keywords

NONLINEAR SCHRODINGER SYSTEMS
COUPLED NONLINEAR SCHRODINGER
SCHRODINGER SYSTEMS
POTENTIALS COUPLED
OPTICAL FIBERS

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Version 1, 2005-06-01, ArXiv

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