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Interaction of solitons in elongated BEC with time-dependent trap

Vicente Pereira de BarrosInstituto de Física, Universidade de São Paulo, 05315-970, C.P. 66318 São Paulo, BrazilMarijana BrtkaInstituto de Fisica, Universidade de Sao Paulo, 05315-970, C.P. 66318 Sao Paulo (Brazil)A. GammalInstituto de Fisica, Universidade de Sao Paulo, 05315-970, C.P. 66318 Sao Paulo (Brazil)F. Kh. AbdullaevDipartimento di Fisica ‘E R Caianiello’, Universitá di Salerno, I-84081 Baronissi (SA), Italy
ABI

Аннотация

The interaction of matter-wave solitons in elongated Bose–Einstein condensate with time-dependent parabolic trap is investigated using the perturbation theory based on the inverse scattering transform. Regimes of parametric and main resonances in solitons interactions are investigated for harmonic trap potentials. The predictions of the theory are confirmed by the numerical simulations of the quasi-one-dimensional Gross–Pitaevskii equation. 1.

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