Applications of Symmetry Methods to the Theory of Plasma Physics

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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.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

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Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/159477

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0602008
 http://arxiv.org/abs/math-ph/0602008
 SIGMA 2 (2006), 017, 17 pages
 doi:10.3842/SIGMA.2006.017

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arXiv