Coupled nonlinear Schrodinger systems with potentials

Alessio Pomponio

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Coupled nonlinear Schrodinger systems with potentials

Alessio Pomponio

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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.

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Alessio Pomponio. 2005-06-01. Coupled nonlinear Schrodinger systems with potentials. https://arxiv.org/abs/math/0506010

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