Von Mises- and Crocco-type transformations: order reduction of nonlinear equations, RF-pairs, and Bäcklund transformations

DOI10.1134/S1064562410010369zbMath1203.35012OpenAlexW2032310598MaRDI QIDQ606523

Andrei D. Polyanin

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410010369

zbMATH Keywords

generalized Calogero equationnew independent variable

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Other special methods applied to PDEs (35A25)

Related Items (3)

Parametrically defined nonlinear differential equations and their solutions: applications in fluid dynamics ⋮ Von Mises- and Crocco-type hydrodynamical transformations: order reduction of nonlinear equations, construction of Bäcklund transformations and of new integrable equations ⋮ Densification of a Viscous Porous Layer with Consideration for Elastic Effects

Cites Work

• Exact solutions of unsteady three-dimensional Navier-Stokes equations
• A Solvable Nonlinear Wave Equation
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
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