Nonlinear dynamics and solitons in Debye bi-crystals

B. Farokhi, Ioannis Kourakis, P.K. Shukla

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The nonlinear dynamics of longitudinal dust lattice waves propagating in a dusty plasma bi-crystal is investigated. A “diatomic”-like one-dimensional dust lattice configuration is considered, consisting of two distinct dust grain species with different charges and masses. Two different frequency dispersion modes are obtained in the linear limit, namely, an optical and an acoustic wave dispersion branch. Nonlinear solitary wave solutions are shown to exist in both branches, by considering the continuum limit for lattice excitations in different nonlinear potential regimes. For this purpose, a generalized Boussinesq and an extended Korteweg de Vries equation is derived, for the acoustic mode excitations, and their exact soliton solutions are provided and compared. For the optic mode, a nonlinear Schrödinger-type equation is obtained, which is shown to possess bright- (dark-) type envelope soliton solutions in the long (short, respectively) wavelength range. Optic-type longitudinal wavepackets are shown to be generally unstable in the continuum limit, though this is shown not to be the rule in the general (discrete) case.
Original languageEnglish
Article number103709
Pages (from-to)103709/1-103709/10
Number of pages10
JournalPhysics of Plasmas
Volume14 (10)
Issue number10
Publication statusPublished - 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics


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