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Families of matter-waves in two-component Bose-Einstein condensates

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Abstract.

We produce several families of solutions for two-component nonlinear Schrödinger/Gross-Pitaevskii equations. These include domain walls and the first example of an antidark or gray soliton in one component, bound to a bright or dark soliton in the other. Most of these solutions are linearly stable in their entire domain of existence. Some of them are relevant to nonlinear optics, and all to Bose-Einstein condensates (BECs). In the latter context, we demonstrate robustness of the structures in the presence of parabolic and periodic potentials (corresponding, respectively, to the magnetic trap and optical lattices in BECs).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Massachusetts, MA 01003-4515, Amherst, USA

    P. G. Kevrekidis

  2. Department of Physics, University of Athens, Panepistimiopolis, Zografos, 15784, Athens, Greece

    H. E. Nistazakis & D. J. Frantzeskakis

  3. Department of Interdisciplinary Studies, Tel Aviv University, 69978, Tel Aviv, Israel

    B. A. Malomed

  4. Nonlinear Dynamical Systems Group , Department of Mathematics and Statistics, San Diego State University, 92182-7720, San Diego CA, USA

    R. Carretero-González

Authors
  1. P. G. Kevrekidis
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  2. H. E. Nistazakis
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  3. D. J. Frantzeskakis
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  4. B. A. Malomed
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  5. R. Carretero-González
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Corresponding author

Correspondence to P. G. Kevrekidis.

Additional information

Received: 8 July 2003

PACS:

03.75.-b Matter waves - 52.35.Mw Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)

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Kevrekidis, P.G., Nistazakis, H.E., Frantzeskakis, D.J. et al. Families of matter-waves in two-component Bose-Einstein condensates. Eur. Phys. J. D 28, 181–185 (2004). https://doi.org/10.1140/epjd/e2003-00311-6

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  • DOI: https://doi.org/10.1140/epjd/e2003-00311-6

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