00730nas a2200109   4500008004100000245008900041210006900130520032300199100002900522700002100551856004800572       2018                        en  d00aNon-linear Gross-Pitaevskii dynamics of a 2D binary condensate: a numerical analysis0 aNonlinear GrossPitaevskii dynamics of a 2D binary condensate a n3 aWe present a numerical study of the two-dimensional Gross-Pitaevskii systems in a wide range of relevant regimes of population ratios and intra-species and inter-species interactions. Our numerical method is based on a Fourier collocation scheme in space combined with a fourth order integrating factor scheme in time.1 aMichelangeli, Alessandro1 aPitton, Giuseppe  uhttp://preprints.sissa.it/handle/1963/3532301002nas a2200109   4500008004100000245009900041210007000140520058100210100002900791700002100820856005100841       2016                        en  d00aNon-linear Schrödinger system for the dynamics of a binary condensate: theory and 2D numerics0 aNonlinear Schrödinger system for the dynamics of a binary conden3 aWe present a comprehensive discussion of the mathematical framework
for binary Bose-Einstein condensates and for the rigorous derivation of their effective
dynamics, governed by a system of coupled non-linear Gross-Pitaevskii equations.
We also develop in the 2D case a systematic numerical study of the Gross-Pitaevskii
systems in a wide range of relevant regimes of population ratios and intra-species and
inter-species interactions. Our numerical method is based on a Fourier collocation
scheme in space combined with a fourth order integrating factor scheme in time.1 aMichelangeli, Alessandro1 aPitton, Giuseppe  uhttp://urania.sissa.it/xmlui/handle/1963/35266