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Title: Kadomtsev−Petviashvili equation for a flow of highly nonisothermal collisionless plasma

It is shown that the equations of two-fluid electrodynamics for a cold ions flow and Boltzmann electrons in the vicinity of the ion-sound point can be reduced to the Kadomtsev−Petviashvili equation. Examples of two-dimensional equilibria with pole singularities obtained by exactly solving the equations are presented. An exact self-similar solution describing a two-dimensional transonic flow and having no pole singularities is found.
Authors:
 [1] ;  [2] ;  [1]
  1. All-Russian Electrotechnical Institute (Russian Federation)
  2. Russian Academy of Sciences, Prokhorov General Physics Institute (Russian Federation)
Publication Date:
OSTI Identifier:
22471839
Resource Type:
Journal Article
Resource Relation:
Journal Name: Plasma Physics Reports; Journal Volume: 42; Journal Issue: 1; Other Information: Copyright (c) 2016 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONLESS PLASMA; ELECTRODYNAMICS; ELECTRONS; EQUILIBRIUM; IONS; MATHEMATICAL SOLUTIONS; PLASMA FLUID EQUATIONS; SOUND WAVES; TRANSONIC FLOW; TWO-DIMENSIONAL SYSTEMS