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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Main Authors:	Giampaolo Cicogna, Francesco Ceccherini, Francesco Pegoraro
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2006-02-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	Lie point symmetries partial differential equations plasma physics
Online Access:	http://www.emis.de/journals/SIGMA/2006/Paper017/

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spelling	doaj-0528699720bf4b528e21ad67ea4956a22020-11-24T22:26:11ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592006-02-012017Applications of Symmetry Methods to the Theory of Plasma PhysicsGiampaolo CicognaFrancesco CeccheriniFrancesco PegoraroThe 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.http://www.emis.de/journals/SIGMA/2006/Paper017/Lie point symmetriespartial differential equationsplasma physics
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Giampaolo Cicogna Francesco Ceccherini Francesco Pegoraro
spellingShingle	Giampaolo Cicogna Francesco Ceccherini Francesco Pegoraro Applications of Symmetry Methods to the Theory of Plasma Physics Symmetry, Integrability and Geometry: Methods and Applications Lie point symmetries partial differential equations plasma physics
author_facet	Giampaolo Cicogna Francesco Ceccherini Francesco Pegoraro
author_sort	Giampaolo Cicogna
title	Applications of Symmetry Methods to the Theory of Plasma Physics
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
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2006-02-01
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.
topic	Lie point symmetries partial differential equations plasma physics
url	http://www.emis.de/journals/SIGMA/2006/Paper017/
work_keys_str_mv	AT giampaolocicogna applicationsofsymmetrymethodstothetheoryofplasmaphysics AT francescoceccherini applicationsofsymmetrymethodstothetheoryofplasmaphysics AT francescopegoraro applicationsofsymmetrymethodstothetheoryofplasmaphysics
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Applications of Symmetry Methods to the Theory of Plasma Physics

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