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

G. A. El; Yu. G. Gladush; A. M. Kamchatnov

doi:10.1088/1751-8113/40/4/003

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

G. A. El·Yu. G. Gladush·A. M. Kamchatnov

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Abstract

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 Schrödinger equations are studied and typical spatial wave distributions are discussed.

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G. A. El, Yu. G. Gladush, A. M. Kamchatnov. 2006-10-03. Two-dimensional periodic waves in a supersonic flow of a Bose-Einstein condensate. https://doi.org/10.1088/1751-8113%2F40%2F4%2F003

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