Nonlinear waves in two-fluid hydrodynamics

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3 Scopus citations


Two assumptions, one-dimensionality and quasineutrality, in the framework of the two-fluid hydrodynamics for hot plasmas, allow a close set of three equations (for inverse density and two components of the transverse magnetic field) to be obtained. These equations describe nonlinear waves in a wide range of wave vectors (up to the inverse electron inertial length) and frequencies (up to the low-hybrid frequency or in some cases electron gyrofrequency). The obtained set of equations is valid for arbitrary plasma temperatures. Linear dispersion relations are easily recovered from the obtained nonlinear equations. Nonlinear wave equations for different modes, which include new terms due to finite pressure, are derived using methods of the reductive perturbation theory. Stationary solutions are analyzed by the pseudopotential method. Conditions for the existence of solutions with homogeneous asymptotics are found.

Original languageEnglish
Pages (from-to)2062-2075
Number of pages14
JournalPhysics of Fluids B
Issue number7
StatePublished - 1 Jan 1993

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • General Physics and Astronomy
  • Fluid Flow and Transfer Processes


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