Modulational instability and exact soliton and periodic solutions for two weakly coupled effectively 1d condensates trapped in a double-well potential

E. Kengne, R. Vaillancourt, B. A. Malomed

Research output: Contribution to journalArticlepeer-review

Abstract

The modulational instability of the coupled GrossPitaevskii equation (alias nonlinear Schrödinger equation), which describes two BoseEinstein condensates trapped in an asymmetric double-well potential, is investigated. The nonlinear dispersion relation that relates the frequency and wave number of the modulating perturbations is found and its analysis shows several possibilities for the modulational stability region. Exact soliton and periodic solutions are constructed via elliptic ordinary differential equations.

Original languageEnglish
Pages (from-to)2211-2227
Number of pages17
JournalInternational Journal of Modern Physics B
Volume24
Issue number14
DOIs
StatePublished - 10 Jun 2010

Keywords

  • BoseEinstein condensate
  • Modulational instability
  • coupled Gross-Pitaevskii equation
  • elliptic ordinary differential equations

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