The article is devoted to a method for constructing exact and approximate solutions of
evolutionary partial differential equations with several spatial variables. The method is …

The article is devoted to integrating of the partial differential equations describing filtration of
suspension. Particles suspended in a fluid are trapped while passing through a porous …

The paper deals with Barenblat's model of non-stationary two-phase filtration of oil and
water with active reagents. This model describes frontal It is described by the first order …

A Contact Linearization Problem for Monge-Ampère Equations and Laplace Invariants Page 1
Acta Appl Math (2008) 101: 177–189 DOI 10.1007/s10440-008-9195-5 A Contact Linearization …

Lie grnup analysis of differential equations (Nordfjoreid, Norway, 1993). We feel that the
theory of two-dimensional homogeneous spaces, or, if one prefers, in local terms the theory …

Abstract top This paper deals with the classification of hyperbolic Monge-Ampère equations
on a two-dimensional manifold. We solve the local equivalence problem with respect to the …

On Contact Equivalence of Monge-Ampère Equations to Linear Equations with Constant
Coefficients Page 1 Acta Appl Math (2010) 109: 197–210 DOI 10.1007/s10440-009-9447-z On …

Many methods for reducing and simplifying differential equations are known. They provide
various generalizations of the original symmetry approach of Sophus Lie. Plenty of relations …

Tensor invariants of an almost product structure are constructed. We apply them to solving
the problem of contact equivalence and the problem of contact linearization for Monge …

Classification of Monge–Amp`ere Equations Page 1 Classification of Monge–Amp`ere
Equations Alexei G. Kushner Abstract In the current paper we present a survey of our results on …