Poltava State Pedagogical University
Ostrogradskogo Street, 2, Poltava, Ukraina
E-mail  laggo@poltava.bank.gov.ua

Group classification of nonlinear partial differential equations: a new approach to resolving of the problem
 

Abstract:
In this report we consider the approach of group classification of nonlinear partial differential equations in low-dimensional spaces. The approach to the classification of partial differential equations is a synthesis of Lie's infinitesimal method, the use of equivalence transformations and the theory of classification of abstract finite-dimensional Lie algebras.