Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves

R. Sabry, S.K. El-Labany, P.K. Shukla

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17 Citations (Scopus)


Cylindrical and spherical amplitude modulation of quantum ion-acoustic (QIA) envelope solitary waves in a dense quantum plasma comprised of electrons and ions is investigated. For this purpose, a one-dimensional quantum hydrodynamic model and the Poisson equation are considered. By using the standard reductive perturbation technique, a modified nonlinear Schrödinger equation with the geometrical and the quantum effects is derived. The effect of quantum corrections and the effect due to the cylindrical and spherical geometries on the propagation of the QIA envelope solitary waves are examined. It is shown that there exists a modulation instability period depending on the quantum parameter, which does not exist for the one-dimensional classical case.
Original languageEnglish
Pages (from-to)122310-122310
Number of pages0
JournalPhysics of Plasmas
Issue number12
Publication statusPublished - Dec 2008


  • modulational instability
  • plasma flow
  • plasma ion acoustic waves
  • plasma simulation
  • plasma solitons
  • Schrodinger
  • equation


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