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May  2003, 3(2): 179-192. doi: 10.3934/dcdsb.2003.3.179

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, Spain, Spain

Received  March 2002 Revised  January 2003 Published  February 2003

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.
Keywords: Nonlinear waves, Bose-Einstein condensation., exactly solvable models.
Mathematics Subject Classification: 74J30, 34A05, 35Q55, 37N2.
Citation: Vadym Vekslerchik, Víctor M. Pérez-García. Exact solution of the two-mode model of multicomponent Bose-Einstein condensates. Discrete and Continuous Dynamical Systems - B, 2003, 3 (2) : 179-192. doi: 10.3934/dcdsb.2003.3.179
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