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Nonlinear Schrödinger Equation with Dissipation: Two Models for Bose-Einstein Condensates

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Dissipative Solitons

Part of the book series: Lecture Notes in Physics ((LNP,volume 661))

Abstract

Dissipation is a universal phenomenon which must be taken into account each time when one attempts to bring a theoretical description of a physical problem closer to the experimental situation. Dissipation can play either a principal role, i.e. determining the phenomenon itself (so that the latter disappears when dissipation is switched off), or a secondary role, i.e. affecting physical processes only by causing relatively small energy losses (so that the phenomenon persists in the absence of the dissipation). In the first case, it is customary to say that one deals with a dissipative system, while in the second case, one speaks of a dissipative perturbation of an originally conservative system.

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Authors and Affiliations

  1. Centro de Física Teórica e Computacional and Departamento de Física, Universidade de Lisboa, Complexo Interdisciplinar, Av. Prof. Gama Pinto 2, 1649-003, Lisbon, Portugal

    V.V. Konotop

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  1. V.V. Konotop
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Nail Akhmediev Adrian Ankiewicz

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Konotop, V. Nonlinear Schrödinger Equation with Dissipation: Two Models for Bose-Einstein Condensates. In: Akhmediev, N., Ankiewicz, A. (eds) Dissipative Solitons. Lecture Notes in Physics, vol 661. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10928028_14

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