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Coupled nonlinear Schrodinger systems with potentials

Analysis of PDEs 2007-05-23 v1 Mathematical Physics math.MP

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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Cite

@article{arxiv.math/0506010,
  title  = {Coupled nonlinear Schrodinger systems with potentials},
  author = {Alessio Pomponio},
  journal= {arXiv preprint arXiv:math/0506010},
  year   = {2007}
}

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21 pages