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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2000 Volume 123, Number 1, Pages 26–37 (Mi tmf582)
Some nonlinear equations reducible to diffusion-type equations

A. V. Gladkova, V. V. Dmitrievab, R. A. Sharipovb

a Ufa State Aviation Technical University
b Bashkir State University

Abstract: The problem of the reducibility of a system of second-order quasi-linear parabolic differential equations to diffusion-type equations is considered. An effective solution algorithm is suggested for this problem in the nondegenerate case.

Received: 06.05.1999
Revised: 12.07.1999

DOI: 10.4213/tmf582


 English version: Theoretical and Mathematical Physics, 2000, 123:1, 436–445

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© Steklov Math. Inst. of RAS, 2024