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Coupled nonlinear Schrödinger systems with potentials

Authors
Journal
Journal of Differential Equations
0022-0396
Publisher
Elsevier
Publication Date
Volume
227
Issue
1
Identifiers
DOI: 10.1016/j.jde.2005.09.002
Keywords
  • Coupled Nonlinear Schrödinger Systems
  • Concentrating Solutions

Abstract

Abstract Coupled nonlinear Schrödinger 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 Schrödinger system, in presence of potentials. We show how the location of the concentration points depends strictly on the potentials.

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