Applications of Symmetry Methods to the Theory of Plasma Physics

Details Applications of Symmetry Methods to the Theory of Plasma Physics Applications of Symmetry Methods to the Theory of Plasma Physics

2006-02-03

arxiv.org/abs/math-ph/0602008v1

SIGMA 2 (2006), 017, 17 pages

Physics

Mathematical Physics

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

Scientific paper

10.3842/SIGMA.2006.017

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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