3 papers
physics.flu-dyn2009
Equations of hydrodynamic type: exact solutions, reduction of order, transformations, and nonlinear stability/unstability
A. D. Polyanin, S. N. Aristov
Systems of hydrodynamic type equations derived from the Navier-Stokes equations and the boundary layer equations are considered. A transformation of the Crocco type reducing the eq…
math-ph2009
The von Mises transformation: order reduction and construction of Backlund transformations and new integrable equations
Andrei D. Polyanin, Alexei I. Zhurov
Wide classes of nonlinear mathematical physics equations are described that admit order reduction through the use of the von Mises transformation, with the unknown function taken a…
nlin.SI2009
The Crocco transformation: order reduction and construction of Backlund transformations and new integrable equations
Andrei D. Polyanin, Alexei I. Zhurov
Wide classes of nonlinear mathematical physics equations are described that admit order reduction through the use of the Crocco transformation, with a first-order partial derivativ…