Propagation of matter wave solitons in periodic and random nonlinear\n potentials

Abstract

We study the motion of bright matter wave solitons in nonlinear potentials,\nproduced by periodic or random spatial variations of the atomic scattering\nlength. We obtain analytical results for the soliton motion, the radiation of\nmatter wave, and the radiative soliton decay in such configurations of the\nBose-Einstein condensate. The stable regimes of propagation are analyzed. The\nresults are in remarkable agreement with the numerical simulations of the\nGross-Pitaevskii equation with periodic or random spatial variations of the\nmean field interactions.\n