Decay of resonance structure and trapping effect in potential scattering problem of self-focusing wave packet

Hironobu Fujishima, Makoto Mine, Masahiko Okumura, Tetsu Yajima

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Potential scattering problems governed by the time-dependent Gross-Pitaevskii equation are investigated numerically for various values of coupling constants. The initial condition is assumed to have the Gaussian-type envelope, which differs from the soliton solution. The potential is chosen to be a box or well type. We estimate the dependences of reflectance and transmittance on the width of the potential and compare these results with those given by the stationary Schrödinger equation. We attribute the behaviors of these quantities to the limitation on the width of the nonlinear wave packet. The coupling constant and the width of the potential play an important role in the distribution of the waves appearing in the final state of scattering.

Original languageEnglish
Article number084003
JournalJournal of the Physical Society of Japan
Issue number8
Publication statusPublished - 2011 Aug



  • Bose-Einstein condensation
  • Gaussian initial condition
  • Gross-Pitaevskii equation
  • Nonlinear Schrödinger equation
  • Numerical analysis
  • Potential scattering

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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