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

Adiabatic Dynamics of Periodic Waves in Bose-Einstein Condensates with Time Dependent Atomic Scattering Length