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:
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper017/
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author Giampaolo Cicogna
Francesco Ceccherini
Francesco Pegoraro
author_facet Giampaolo Cicogna
Francesco Ceccherini
Francesco Pegoraro
author_sort Giampaolo Cicogna
collection DOAJ
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.
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spelling doaj.art-0528699720bf4b528e21ad67ea4956a22022-12-21T18:31:33ZengNational 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
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
title 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_short Applications of Symmetry Methods to the Theory of Plasma Physics
title_sort applications of symmetry methods to the theory of plasma physics
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