Geodesic
Demonstrative computation of vortex structures in Bose--Einstein Condensate
Russian journal of nonlinear dynamics, Tome 5 (2009) no. 2, pp. 215-235

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The paper concerns non-one-dimensional structures described by nonlinear Schrödinger 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, Gross–Pitaevskii equation.
Mots-clés : solitons 
@article{ND_2009_5_2_a4,
     author = {G. L. Alfimov and D. A. Zezyulin},
     title = {Demonstrative computation of vortex structures in {Bose--Einstein} {Condensate}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {215--235},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2009_5_2_a4/}
}
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G. L. Alfimov; D. A. Zezyulin. Demonstrative computation of vortex structures in Bose--Einstein Condensate. Russian journal of nonlinear dynamics, Tome 5 (2009) no. 2, pp. 215-235. http://geodesic.mathdoc.fr/item/ND_2009_5_2_a4/