3 papers
nlin.SI2013
A new method for constructing exact solutions to nonlinear delay partial differential equations
Andrei D. Polyanin, Alexei I. Zhurov
We propose a new method for constructing exact solutions to nonlinear delay reaction--diffusion equations of the form where , , and…
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…