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Title

Classification of Monge-Ampère equations with two variables

Authors 1

Affiliations

  1. Chair of Mathematical Modeling, Baumann Moscow State Technological University, P.O.Box 546, 119618, Moscow, Russia

Abstract

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 contact transformation group assuming that the equation is of general position nondegenerate type. As an application we formulate a new method of finding symmetries. This together with previous author's results allows to state the solution of the classical S. Lie equivalence problem for the Monge-Ampère equations.

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Banach Center Publications
1999/50/1
Export to PBN, Opens in new tab
Pages:
179-194
Main language of publication
English
Published
1999
Exact and natural sciences