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On nonclassical invertible transformations of hyperbolic equations

Published online by Cambridge University Press:  26 September 2008

V. V. Sokolov  and
S. I. Svinolupov
V. V. Sokolov
Affiliation:
Mathematical Institute of Ufa, Center of Russian Academy of Sciences, Chernyshevsky str. 112, 450000, Russia
S. I. Svinolupov
Affiliation:
Mathematical Institute of Ufa, Center of Russian Academy of Sciences, Chernyshevsky str. 112, 450000, Russia
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Abstract

The main result of this paper is a complete description of local invertible transformations

relating one equation of the form uxy = F(x, y, u, ux, uy) to another equation of the form υxy = G(x, y, υ, υx, υy).

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 2 , April 1995 , pp. 145 - 156
Copyright
Copyright © Cambridge University Press 1995

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