Von Mises- and Crocco-type hydrodynamical transformations: order reduction of nonlinear equations, construction of Bäcklund transformations and of new integrable equations

DOI10.1134/S1061920811030034zbMath1268.35105OpenAlexW2058875007MaRDI QIDQ455590

I. A. Fedotov, Andrei D. Polyanin

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920811030034

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Von Mises- and Crocco-type transformations: order reduction of nonlinear equations, RF-pairs, and Bäcklund transformations
• Exact solutions of unsteady three-dimensional Navier-Stokes equations
• Bäcklund transformations and their applications
• The Calogero equation and Liouville-type equations
• A Solvable Nonlinear Wave Equation
• On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• The Navier-Stokes Equations
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