Kadomtsev−Petviashvili equation for a flow of highly nonisothermal collisionless plasma
- Authors: Movsesyants Y.B.1, Rukhadze A.A.2, Tyuryukanov P.M.1
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Affiliations:
- All-Russian Electrotechnical Institute
- Prokhorov General Physics Institute
- Issue: Vol 42, No 1 (2016)
- Pages: 25-31
- Section: Nonlinear Structures
- URL: https://journals.rcsi.science/1063-780X/article/view/185523
- DOI: https://doi.org/10.1134/S1063780X16010116
- ID: 185523
Cite item
Abstract
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.
About the authors
Yu. B. Movsesyants
All-Russian Electrotechnical Institute
Author for correspondence.
Email: yumovsesyants@gmail.com
Russian Federation, ul. Krasnokazarmennaya 12, Moscow, 111250
A. A. Rukhadze
Prokhorov General Physics Institute
Email: yumovsesyants@gmail.com
Russian Federation, ul. Vavilova 38, Moscow, 119991
P. M. Tyuryukanov
All-Russian Electrotechnical Institute
Email: yumovsesyants@gmail.com
Russian Federation, ul. Krasnokazarmennaya 12, Moscow, 111250