Dust-acoustic solitary and shock waves in a strongly coupled liquid state dusty plasma with a vortex-like ion distribution

A.A. Mamun, B. Eliasson, P.K. Shukla

Research output: Contribution to journalArticlepeer-review

72 Citations (Scopus)


It is shown that the nonlinear propagation of dust-acoustic waves in a strongly coupled dusty plasma is governed by a modified Korteweg–de-Vries–Burgers (KdV–Burgers) equation. The latter is derived from a set of generalized hydrodynamic equations for strongly correlated dust grains in a liquid-like state, a Boltzmann electron distribution, and a non-isothermal vortex-like ion distribution. The numerical solutions of the modified KdV–Burgers equation are presented in order to provide some salient features of dust-acoustic solitary and shock structures that may exist in laboratory dusty plasmas where the dust grains are in a strongly coupled liquid phase.
Original languageEnglish
Pages (from-to)412–416
Number of pages5
JournalPhysics Letters A
Issue number5-6
Early online date20 Oct 2004
Publication statusPublished - 22 Nov 2004


  • dusty acoustic waves
  • solitary waves

Cite this