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arXiv · 1801.03289

Simple waves in a two-component Bose-Einstein condensate

S. K. Ivanov·A. M. Kamchatnov
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Abstract

We consider dynamics of simple waves in a two-component Bose-Einstein condensates. The evolution of the condensate is described by the Gross-Pitaevskii equations which can be reduced for simple wave solutions to a system of ordinary differential equations which coincide with those derived by Ovsyannikov for the two-layer fuid dynamics. We solve the Ovsyannikov system for two typical situations of large and small difference between inter-species and intra-species nonlinear interaction constants. Our analytic results are confirmed by numerical simulations.

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S. K. Ivanov, A. M. Kamchatnov. 2018-01-10. Simple waves in a two-component Bose-Einstein condensate. https://doi.org/10.1103/physreve.97.042208

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