Exact solution of the two-mode model of multicomponent Bose-Einstein condensates

Vadym Vekslerchik; Víctor M. Pérez-García

doi:10.3934/dcdsb.2003.3.179

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2003, Volume 3, Issue 2: 179-192. Doi: 10.3934/dcdsb.2003.3.179

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Exact solution of the two-mode model of multicomponent Bose-Einstein condensates

Vadym Vekslerchik^1, and
Víctor M. Pérez-García^1,

1.
Departamento de Matemáticas, E.T.S.I. Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real

Received: March 2002

Revised: January 2003

Published: May 2003

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Abstract

We find the explicit solution of the so-called two-mode model for multicomponent Bose-Einstein condensates. We prove that all the solutions are constants or periodic functions and give explicit formulae for them.

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Mathematics Subject Classification: 74J30, 34A05, 35Q55, 37N20.

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