Abstract
Transformations of a generalized Baecklund-type are introduced with a view to the reduction of the wave equation of hyperbolic hodograph systems associated with the propagation of large amplitude disturbances through elastic media. Specifically, the iteration of certain such transformations allows the reduction for materials described by a class of multiparameter, nonlinear stress-strain laws. Included as special cases in the latter are two kinds of stressstrain laws recently introduced by Cekirge and Varley [1]. One type provides a reasonable approximation to the behavior of saturated soil, dry sand and clay silt under dynamic compression, while the other may be employed to describe the behavior of certain hard materials (see [1]).
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