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    Adiabatic dynamics of periodic waves in Bose-Einstein condensate with time dependent atomic scattering length

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    Evolution of periodic matter waves in one-dimensional Bose-Einstein condensates with time dependent scattering length is described. It is shown that variation of the effective nonlinearity is a powerful tool for controlled generation of bright and dark solitons starting with periodic waves.Comment: 4 pages, 1 figur
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