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., 2008, Volume 88, Issue 3,Pages <nobr>194

This article is cited in 8 papers

PLASMA, GASES

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

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.

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

Received: 19.05.2008
Revised: 09.06.2008