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Localized excitations of low dimensional Bose Einstein condensates in optical lattices

F. Kh. AbdullaevPhysical-Technical institute of the Uzbek Academy of Sciences, G. Mavlyanov str. 2-b, 700084, Tashkent, UzbekistanMario SalernoDipartimento di Fisica 'E.R. Caianiello" and Istituto Nazionale di Fisíca della Materia (INFM), Universitá di Salerno, I-84081 Baronissi (SA), Italy

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Existence of localized states of lD NLS equation with quintic nonlinearity and optical lattices is investigated. Optical lattices prevent collapse in attractive case and lead to existence of bright soliton for the repulsive case.

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