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Interactions between two solitons with an arbitrary collision direction in two-dimensional Bose-Einstein condensates

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  • S. C. Li
  • W. S. Duan

Abstract

Interactions between two solitary waves with an arbitrary collision direction in disk-shaped Bose-Einstein condensates are investigated by using the modified Poincaré-Lighthill-Kuo (PLK) perturbation technique. The results show that the two-dimensional system have a solution of two dark solitons with small-amplitude, but finite amplitude which propagating in two different directions. This solution can be described by two Boussinesq-Korteweg-de Vries (B-KdV) equations in the respective reference frames. The solitary wave solutions and their analytical phase shifts are obtained. Moreover, the solution and its stability are discussed by numerical simulation. Particularly, it is found that the phase shifts strongly depend on the angle between two propagation directions of two solitons, which is quite different from that in one-dimensional system. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • S. C. Li & W. S. Duan, 2008. "Interactions between two solitons with an arbitrary collision direction in two-dimensional Bose-Einstein condensates," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(4), pages 485-491, April.
    • Handle: RePEc:spr:eurphb:v:62:y:2008:i:4:p:485-491
    DOI: 10.1140/epjb/e2008-00192-y
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    Cited by:

    1. V. Goian & S. Kamba & J. Hlinka & P. Vaněk & A. A. Belik & T. Kolodiazhnyi & J. Petzelt, 2009. "Polar phonon mixing in magnetoelectric EuTiO 3," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(3), pages 429-433, October.

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