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Some nonlinear equations reducible to diffusion-type equations

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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.

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Authors and Affiliations

  1. Ufa State Aviation Technical University, Ufa, Russia

    A. V. Gladkov

  2. Bashkir State University, Ufa, Russia

    V. V. Dmitrieva

  3. Bashkir State University, Ufa, Russia

    R. A. Sharipov

Authors
  1. A. V. Gladkov
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  2. V. V. Dmitrieva
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  3. R. A. Sharipov
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 123, No. 1, pp. 26–37, April, 2000.

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Gladkov, A.V., Dmitrieva, V.V. & Sharipov, R.A. Some nonlinear equations reducible to diffusion-type equations. Theor Math Phys 123, 436–445 (2000). https://doi.org/10.1007/BF02551049

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  • DOI: https://doi.org/10.1007/BF02551049

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