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Vector rogue waves in binary mixtures of Bose-Einstein condensates

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Abstract.

We study numerically rogue waves in the two-component Bose-Einstein condensates which are described by the coupled set of two Gross-Pitaevskii equations with variable scattering lengths. We show that rogue wave solutions exist only for certain combinations of the nonlinear coefficients describing two-body interactions. We present the solutions for the combinations of these coefficients that admit the existence of rogue waves.

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Authors and Affiliations

  1. Centro de Física, Universidade do Minho, Campus de Gualtar, Braga, 4710-057, Portugal

    Yu.V. Bludov

  2. Centro de Física Teórica e Computacional, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa, 1649-003, Portugal

    V.V. Konotop

  3. Departamento de Física, Universidade de Lisboa, Campo Grande, Edifício C8, Piso 6, Lisboa, 1749-016, Portugal

    V.V. Konotop

  4. Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra ACT, 0200, Australia

    N. Akhmediev

Authors
  1. Yu.V. Bludov
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  2. V.V. Konotop
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  3. N. Akhmediev
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Corresponding authors

Correspondence to Yu.V. Bludov, V.V. Konotop or N. Akhmediev.

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Bludov, Y., Konotop, V. & Akhmediev, N. Vector rogue waves in binary mixtures of Bose-Einstein condensates. Eur. Phys. J. Spec. Top. 185, 169–180 (2010). https://doi.org/10.1140/epjst/e2010-01247-6

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  • DOI: https://doi.org/10.1140/epjst/e2010-01247-6

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