Department of Physics2024-11-0920110587-424610.12693/APhysPolA.120.9922-s2.0-83155168302http://dx.doi.org/10.12693/APhysPolA.120.992https://hdl.handle.net/20.500.14288/14645One-dimensional propagation of ultraslow optical pulses in an atomic Bose-Einstein condensate taking into account the dispersion and the spatial inhomogeneity is investigated. Analytical and semi-analytical solutions of the dispersive inhomogeneous wave equation modeling the ultraslow pulse propagation are developed and compared against the standard wave equation solvers based upon Cranck-Nicholson and pseudo-spectral methods. The role of curvature of the trapping potential of the condensate on the amount of dispersion of the ultraslow pulse is pointed out.PhysicsJournal Article298208800003Q45679