A triad of magnetohydrodynamic motions: conservation law representation and superposition principle applications

Abstract

Here, novel geometric conservation law representations are established in two-dimensional magnetohydrodynamics whereby a triad of admitted conducting motions is derived. Application is then made of a magnetohydrodynamic superposition principle to generate extended multi-parameter classes of associated conducting motions. In addition, under a correspondence between the magnetogasdynamic system and nonlinear elastostatics an associated invariance is established for a linked canonical neo-Hookean plane strain system.