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Propagation of matter wave solitons in periodic and random nonlinear potentials

Propagation of matter wave solitons in periodic and random nonlinear potentials

We study the motion of bright matter-wave solitons in nonlinear potentials, produced by periodic or random spatial variations of the atomic scattering length. We obtain analytical results for the soliton motion, the radiation of matter wave, and the radiative soliton decay in such configurations of the Bose-Einstein condensate. The stable …