Two-dimensional periodic waves in a supersonic flow of a Bose-Einstein condensate

Details Two-dimensional periodic waves in a supersonic flow of a Bose-Einstein condensate Two-dimensional periodic waves in a supersonic flow of a Bose-Einstein condensate

2006-09-09

arxiv.org/abs/nlin/0609022v2

J.Phys. A: Math. Theor. 40, 611-619 (2007)

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, no figures

Scientific paper

10.1088/1751-8113/40/4/003

Stationary periodic solutions of the two-dimensional Gross-Pitaevskii equation are obtained and analyzed for different parameter values in the context of the problem of a supersonic flow of a Bose-Einstein condensate past an obstacle. The asymptotic connections with the corresponding periodic solutions of the Korteweg-de Vries and nonlinear Schr\"odinger equations are studied and typical spatial wave distributions are discussed.

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