This article is cited in 5 papers

Regular partially invariant solutions of defect 1 of the equations of ideal magnetohydrodynamics

S. V. Golovin<sup>ab

a</sup> Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
^b Novosibirsk State University

Abstract: All irreducible regular partially invariant submodels with one noninvariant function for the equations of ideal magnetohydrodynamics are constructed. The submodels are completed to involution, and partially integrated. The submodels specify Ovsyannikov vortex type motion or motion with homogeneous deformation in some spatial directions.

Keywords: ideal magnetohydrodynamics, partially invariant solutions, overdetermined systems of differential equations.

UDC: 533

Received: 06.11.2008

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:2, 171–180

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