Reciprocal transformations of the one-dimensional magnetogasdynamics

Equivalence transformations play one of the important roles in continuum mechanics. These transformations reduce the original equations to simpler forms. One of the classes of nonlocal equivalence transformations is the class of reciprocal transformations. Despite the long history of applications of such transformations in continuum mechanics, there has been no general method of obtaining them. Recently such a method was proposed. The method...