One-dimensionally inhomogeneous structures of an atomic Bose-Einstein condensate

Exact solutions of the generalized stationary one-dimensional Gross-Pitaevski equation taking! into account the nonlocality of interatomic interactions in a Bose-Einstein condensate were found. These solutions correspond to regimes of bright and dark solitons, as well as to complete and incomplete periodic modulation of the atomic concentration. A regime of complete purely harmonic modulation was revealed. The qualitative analysis of the phase plane of the corresponding equations was performed. The possibility of interpreting the experimentally observed soliton chains as a regime of complete or deep modulation was indicated. (C) 2004, MAIK "Nauka/Interperiodica".