Digital Library of Mathematical Functions
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22 Jacobian Elliptic Functions

Sidebar 22.SB1: Decay of a Soliton in a Bose–Einstein Condensate

Charles Clark
See accompanying text

Jacobian elliptic functions arise as solutions to certain nonlinear Schrodinger equations, which model many types of wave propagation phenomena. Among these are the formation of vortex rings in Bose Einstein condensates. This image presents the results of a computer simulation of this phenomena carried out at NIST. For details see the NIST news item Decay of a dark soliton into vortex rings in a Bose–Einstein condensate.

For technical details of the physical phenomena, see B.P. Anderson, P.C. Haljan, C.A. Regal, D.L. Feder, L.A. Collins, C.W. Clark, and E.A. Cornell, Watching Dark Solitons Decay into Vortex Rings in a Bose–Einstein Condensate, Phys. Rev. Lett. 86, 2926–2929 (2001)