Classification of Generalized Rapoport–Leas Equations

Abstract

Classification of generalized differential equations of the Rapoport-Leas type with respect to point transformations, that is, transformations of independent and dependent variables, is carried out. For this purpose, the algebra of differential invariants is constructed. Equations of the Rapoport-Leas type are found in various fields of natural science. For example, in the theory of filtration in porous media, nuclear physics.