Dmitry Zezyulin

    St. Petersburg 197101, Russia
    ITMO University


    Alfimov G. L., Zezyulin D. A.
    The paper concerns non-one-dimensional structures described by nonlinear SchrЁodinger equation with additional potential term. A method for numerical construction of structures of such kind is suggested. The method is based on dynamical interpretation of the equation under consideration. Some exact statements are formulated; they allow (in some cases) to perform demonstrative computation and to list all the types of structures mentioned above. Physical applications of the problem are associated with the theory of a Bose—Einstein condensate. In this context the considered equation is called Gross—Pitaevskii equation and the structures under consideration correspond to macroscopic wave function of the condensate.
    Keywords: Bose–Einstein condensate, solitons, Gross–Pitaevskii equation
    Citation: Alfimov G. L., Zezyulin D. A.,  Demonstrative computation of vortex structures in Bose–Einstein Condensate, Rus. J. Nonlin. Dyn., 2009, Vol. 5, No. 2, pp.  215-235

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