Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates

  title={Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates},
  author={Luca Salasnich and Alberto Parola and Luciano Reatto},
  journal={Physical Review A},
Starting from the three-dimensional (3D) Gross-Pitaevskii equation and using a variational approach, we derive an effective 1D wave equation that describes the axial dynamics of a Bose condensate confined in an external potential with cylindrical symmetry. The trapping potential is harmonic in the transverse direction and generic in the axial one. Our equation, that is a time-dependent nonpolynomial nonlinear Schr\"odinger equation (1D NPSE), can be used to model cigar-shaped condensates, whose… Expand
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