Semiclassical solutions localized in a neighborhood of a circle for the Gross-
Pitaevskii equation
Borisov A.V., Trifonov A.Yu., Shapovalov A.V.
Компьютерные исследования и моделирование Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2009 (in press). Vol. 1 (4). (accepted)
Non-collapsing soliton-like wave functions are shown to exist in semiclassical approximation for the Bose-Einstein condensate model based on the Gross-Pitaevskii equation with attractive nonlinearity and external field of magnetic trap of special form.
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