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Existence of autosoliton in the trapped Bose-Einstein condensate

F. Kh. AbdullaevPhysical-Technical Institute of the Uzbek Academy of Sciences, G. Mavlyanov str. 2-b, 700084, Tashkent, UzbekistanVicto S. FilhoInstitute of the Theoretical Physics, UNESP, Sao Paulo, BrazilA. GammalInstitute of the Theoretical Physics, UNESP, Sao Paulo, BrazilLauro TomioInstitute of the Theoretical Physics, UNESP, Sao Paulo, Brazil

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The conditions for existence of autosolitons in the 3D Bose-Einstein condensate with attractive interactions and two and three body inelastic processes are derived. The predictions are confirmed by exact numerical calculations of the modified 3D Gross-Pitaevskii equation.

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