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Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations pp 485–508Cite as

Multiple Fluxon Analogues and Dark Solitons in Linearly Coupled Bose–Einstein Condensates

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Part of the book series: Progress in Optical Science and Photonics ((POSP,volume 1))

Abstract

Two effectively one-dimensional parallel coupled Bose–Einstein condensates in the presence of external potentials are studied. The system is modelled by linearly coupled Gross–Pitaevskii equations. In particular, the interactions of grey-soliton-like solutions representing analogues of superconducting Josephson fluxons as well as coupled dark solitons are discussed. A theoretical approximation based on variational formulations to calculate the oscillation frequency of the grey-soliton-like solution is derived and a qualitatively good agreement with numerics is obtained.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK

    M. I. Qadir, H. Susanto & P. C. Matthews

  2. Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan

    M. I. Qadir

Authors
  1. M. I. Qadir
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  2. H. Susanto
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  3. P. C. Matthews
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Corresponding author

Correspondence to H. Susanto .

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Editors and Affiliations

  1. Faculty of Engineering The Iby and Aladar Fleischman, Tel Aviv University, Ramat Aviv, Israel

    Boris A. Malomed

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Qadir, M.I., Susanto, H., Matthews, P.C. (2012). Multiple Fluxon Analogues and Dark Solitons in Linearly Coupled Bose–Einstein Condensates. In: Malomed, B. (eds) Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations. Progress in Optical Science and Photonics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10091_2012_18

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  • DOI: https://doi.org/10.1007/10091_2012_18

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  • Print ISBN: 978-3-642-21206-2

  • Online ISBN: 978-3-642-21207-9

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