Wave-wave regular interactions of a gasdynamic type

Abstract

Two gas dynamic analytic approaches (of a Burnat type / Martin type) are respectively used in order to construct two analogous and significant pairs of classes of solutions (isentropic pair / anisentropic (of a particular type) pair). Each mentioned pair puts together a class of wave elements and a class of wave-wave regular interaction elements. A classifying parallel is finally constructed between the two analogous pairs of classes -- making evidence of some consonances and, concurrently, of some nontrivial contrasts.