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Bose-Einstein Condensates and Signal Transmission in Optical Fibers

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Mathematical Models with Singularities

Part of the book series: Atlantis Briefs in Differential Equations ((ABDE,volume 1))

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Abstract

The nonlinear Schrödinger equation (NLSE) is one of the most important models of Mathematical Physics and plays a central role in a variety of contexts, especially those related with Quantum Mechanics. Dynamics of Bose-Einstein Condensates and signal transmission in Optical Fibers are the most important examples. In this chapter, we show that the study of the NLSE with cubic nonlinearity (Gross-Pitaevskii equation) is closely related to the analysis of differential equations with singularities.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Granada, Granada, Spain

    Pedro J. Torres

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  1. Pedro J. Torres
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Correspondence to Pedro J. Torres .

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Torres, P.J. (2015). Bose-Einstein Condensates and Signal Transmission in Optical Fibers. In: Mathematical Models with Singularities. Atlantis Briefs in Differential Equations, vol 1. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-106-2_5

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