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A Group Theoretic Approach to the Magnetohydrodynamic Equations and Group Invariant Solutions
Author(s) -
Ludu A.,
IovituPopescu I.
Publication year - 1990
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.2150300402
Subject(s) - invariant (physics) , magnetohydrodynamic drive , group (periodic table) , transformation group , nonlinear system , symmetry group , partial differential equation , differential equation , compressibility , physics , mathematical physics , mathematical analysis , mathematics , plasma , pure mathematics , magnetohydrodynamics , quantum mechanics , thermodynamics , geometry
The application of transformation group methods to a system of nonlinear partial differential equations, representing an incompressible M H D plasma, is shown. The structure of the symmetry group is investigated and a theorem of existence of the solutions of the system of equations is given. Some illustrative analytical invariant solutions and their differential invariants will be presented.