15 October 2012 2D soliton formation of BEC at its interaction with external potential
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On the base of computer simulation we found out the 2D soliton appearance after interaction of the Bose-Einstein condensate (BEC) with an obstacle (external potential). The number of soliton is defined by the velocity of motion of the obstacle and its spatial sizes as well as strength of the obstacle. The soliton of the BEC wave appears both for transmission wave and for the reflection wave also. Soliton appears for positive and negative (maybe, for chosen obstacle) value of the nonlinearity. The reflection of the BEC from the obstacle leads to a new mehcanism of the obstacle rounding. To prove the existence of the solition we construct the analytical soliton for the considering problem after both BEC propagation of the obstacle or its reflection from the obstacle.
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Vyacheslav A. Trofimov, Artem V. Rozantsev, "2D soliton formation of BEC at its interaction with external potential", Proc. SPIE 8497, Photonic Fiber and Crystal Devices: Advances in Materials and Innovations in Device Applications VI, 84970F (15 October 2012); doi: 10.1117/12.928462; https://doi.org/10.1117/12.928462

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