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Discrete Nonlinear Schrödinger Equations with Time-Dependent Coefficients (Management of Lattice Solitons)

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The Discrete Nonlinear Schrödinger Equation

Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 232))

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The general topic of the book into which this chapter is incorporated is the discrete nonlinear Schrödinger (DNLS) equation as a fundamental model of nonlinear lattice dynamics. The DNLS equation helps to study many generic features of nonintegrable dynamics in discrete media [1]. Besides being a profoundly important model in its own right, this equation has very important direct physical realizations, in terms of arrays of nonlinear optical waveguides (as was predicted long ago [2] and demonstrated in detail more recently, see [3, 4] and references therein), and arrays of droplets in Bose–Einstein condensates (BECs) trapped in a very deep optical lattice (OL), see details in the original works [5–10] and the review [11].

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Authors and Affiliations

  1. Grupo de Física No Lineal, Departamento de Física Aplicada I, Escuela Universitaria Politécnica, C/ Virgen de África7, 41011 Sevilla, Spain

    Jesús Cuevas

  2. Department of Physical Electronics, Faculty of Engineering, School of Electrical Engineering, Tel Aviv University, C/ Virgen de África7, Tel Aviv 69978, Israel

    Boris A. Malomed

Authors
  1. Jesús Cuevas
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  2. Boris A. Malomed
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Correspondence to Jesús Cuevas .

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Cuevas, J., Malomed, B.A. (2009). Discrete Nonlinear Schrödinger Equations with Time-Dependent Coefficients (Management of Lattice Solitons). In: The Discrete Nonlinear Schrödinger Equation. Springer Tracts in Modern Physics, vol 232. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89199-4_15

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  • DOI: https://doi.org/10.1007/978-3-540-89199-4_15

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  • Online ISBN: 978-3-540-89199-4

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