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arXiv · 1305.6685

Multiple fluxon analogues and dark solitons in linearly coupled Bose-Einstein condensates

M. I. Qadir·H. Susanto·P. C. Matthews
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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 is obtained.

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M. I. Qadir, H. Susanto, P. C. Matthews. 2013-05-29. Multiple fluxon analogues and dark solitons in linearly coupled Bose-Einstein condensates. https://doi.org/10.1007/10091_2012_18

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