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- Title
Method of generalized Cole-Hopf substitutions for dimension 1+2 and integrable models for two-dimensional compressible flows.
- Authors
Zhuravlev, V.; Zinov’ev, D.
- 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.
- Subjects
TOROIDAL magnetic circuits; NONLINEAR evolution equations; EULER characteristic; FLOWS (Differentiable dynamical systems); NONLINEAR statistical models
- Publication
JETP Letters, 2008, Vol 88, Issue 3, p164
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364008150046