Nonlinear Amplitude Equations and Soliton Excitations in Bose-Einstein Condensates

  • Guoxiang Huang
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 483)


We consider the soliton excitations in Bose-Einstein condensates (BECs) with a repulsive interparticle interaction. We show that long wavelength nonlinear excitations can be described by the Korteweg-de Vries equation in a cigar-shaped BEC and by the Kadomtsev-Petviashvili equation in a disk-shaped BEC. The nonlinear excitations with a short wavelength in a disk-shaped BEC obey the Davey-Stewartson equations. We also show that it is possible to realize a second harmonic generation of the nonlinear excitations in a two-component BEC.


Dark Soliton Matter Wave Bright Soliton Linear Dispersion Relation Nonlinear Excitation 
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Copyright information

© CISM, Udine 2005

Authors and Affiliations

  • Guoxiang Huang
    • 1
  1. 1.Department of PhysicsEast China UniversityShanghaiChina

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