This article is cited in 17 papers

Gas-dynamic approach in the nonlinear theory of ion acoustic waves in a plasma: An exact solution

A. E. Dubinov

Institute of Experimental Physics (VNIIEF), Sarov, 607188

Abstract: An exact solution of the problem of the acoustic wave structure in a plasma is obtained. Both plasma component are treated as gases with specified initial temperatures and adiabatic exponents. The system of equations describing the wave profile is solved using an original method consisting of reducing the system to the Bernoulli equation. A numerical example of the obtained general solution of the problem of the wave profile for arbitrary parameters is given. Curves are constructed that bound the region of existence of a stationary solitary ion acoustic wave in the parameter space.

Keywords: plasma, ion acoustic wave, nonlinear theory.

UDC: 533.9

Received: 17.10.2006

 English version: Journal of Applied Mechanics and Technical Physics, 2007, 48:5, 621–628

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