REGULAR PARTIALLY INVARIANT SOLUTIONS OF DEFECT 1 OF THE EQUATIONS OF IDEAL MAGNETOHYDRODYNAMICS

摘要

All irreducible regular partiully invariant submodels, with one noninvarianl function for the equations of ideal magnetohgdrodynamics are constructed. The submodels are completed to involution, and partially integrated. The submodels specify Ovsyannikov vortex type motion or motion with homogeneous deforrmation in some spatial directions.