V. M. Zhuravlev, D. A. Zinov'ev, “Method of generalized Cole-Hopf substitutions for dimension 1+2 and integrable models for two-dimensional compressible flows”, Pis'ma v Zh. Èksper. Teoret. Fiz., 88:3 (2008), 194–197; JETP Letters, 88:3 (2008), 164

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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2008, Volume 88, Issue 3, Pages 194–197 (Mi jetpl184)

This article is cited in 8 scientific papers (total in 8 papers)

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Method of generalized Cole-Hopf substitutions for dimension 1+2 and integrable models for two-dimensional compressible flows

V. M. Zhuravlev, D. A. Zinov'ev

Ulyanovsk State University, ul. L'va Tolstogo 42, Ulyanovsk, 432970, Russia

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Abstract: The method for integration of nonlinear equations using the generalized Cole-Hopf substitutions is extended to the case of dimension 1+2. The general structure of the solutions of the Euler equations for two-dimensional compressible fluid flows is analyzed. A method is developed for constructing new exact solutions describing two-dimensional compressible and incompressible flows.

Received: 19.05.2008
Revised: 09.06.2008

English version:
Journal of Experimental and Theoretical Physics Letters, 2008, Volume 88, Issue 3, Pages 164–166
DOI: https://doi.org/10.1134/S0021364008150046

Bibliographic databases:

Document Type: Article

PACS: 02.30.Ik, 47.20.Ky, 47.40.-x

Language: Russian

Citation: V. M. Zhuravlev, D. A. Zinov'ev, “Method of generalized Cole-Hopf substitutions for dimension 1+2 and integrable models for two-dimensional compressible flows”, Pis'ma v Zh. Èksper. Teoret. Fiz., 88:3 (2008), 194–197; JETP Letters, 88:3 (2008), 164–166

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https://www.mathnet.ru/eng/jetpl184

https://www.mathnet.ru/eng/jetpl/v88/i3/p194

This publication is cited in the following 8 articles:

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Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki

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