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

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

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

Two-dimensional periodic waves in 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 analysed 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 Schr̈odinger equations are studied and typical spatial wave distributions are discussed

Original language	English
Pages (from-to)	611-619
Number of pages	9
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40
Issue number	4
DOIs	https://doi.org/10.1088/1751-8113/40/4/003
Publication status	Published - 26 Jan 2007
Externally published	Yes

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AB - Stationary periodic solutions of the two-dimensional Gross-Pitaevskii equation are obtained and analysed 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 Schr̈odinger equations are studied and typical spatial wave distributions are discussed

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

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