Applications of Symmetry Methods to the Theory of Plasma Physics

The theory of plasma physics offers a number of nontrivial examples of partial differential equations, which can be successfully treated with symmetry methods. We propose three different examples which may illustrate the reciprocal advantage of this "interaction" between plasma physics and...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2006
Hauptverfasser: Cicogna, G., Ceccherini, F., Pegoraro, F.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2006
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/146450
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Applications of Symmetry Methods to the Theory of Plasma Physics / G. Cicogna, F. Ceccherini, F. Pegoraro // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 62 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-146450
record_format dspace
spelling Cicogna, G.
Ceccherini, F.
Pegoraro, F.
2019-02-09T17:22:19Z
2019-02-09T17:22:19Z
2006
Applications of Symmetry Methods to the Theory of Plasma Physics / G. Cicogna, F. Ceccherini, F. Pegoraro // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 62 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 35A30; 35Q60; 22E70
https://nasplib.isofts.kiev.ua/handle/123456789/146450
The theory of plasma physics offers a number of nontrivial examples of partial differential equations, which can be successfully treated with symmetry methods. We propose three different examples which may illustrate the reciprocal advantage of this "interaction" between plasma physics and symmetry techniques. The examples include, in particular, the complete symmetry analysis of system of two PDE's, with the determination of some conditional and partial symmetries, the construction of group-invariant solutions, and the symmetry classification of a nonlinear PDE.
We are indebted to the referees for their useful comments and valuable suggestions. We also thank Nino Valenti for his precious help with a search in the literature.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Applications of Symmetry Methods to the Theory of Plasma Physics
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Applications of Symmetry Methods to the Theory of Plasma Physics
spellingShingle Applications of Symmetry Methods to the Theory of Plasma Physics
Cicogna, G.
Ceccherini, F.
Pegoraro, F.
title_short Applications of Symmetry Methods to the Theory of Plasma Physics
title_full Applications of Symmetry Methods to the Theory of Plasma Physics
title_fullStr Applications of Symmetry Methods to the Theory of Plasma Physics
title_full_unstemmed Applications of Symmetry Methods to the Theory of Plasma Physics
title_sort applications of symmetry methods to the theory of plasma physics
author Cicogna, G.
Ceccherini, F.
Pegoraro, F.
author_facet Cicogna, G.
Ceccherini, F.
Pegoraro, F.
publishDate 2006
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description The theory of plasma physics offers a number of nontrivial examples of partial differential equations, which can be successfully treated with symmetry methods. We propose three different examples which may illustrate the reciprocal advantage of this "interaction" between plasma physics and symmetry techniques. The examples include, in particular, the complete symmetry analysis of system of two PDE's, with the determination of some conditional and partial symmetries, the construction of group-invariant solutions, and the symmetry classification of a nonlinear PDE.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/146450
citation_txt Applications of Symmetry Methods to the Theory of Plasma Physics / G. Cicogna, F. Ceccherini, F. Pegoraro // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 62 назв. — англ.
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