94 citations · 103 across the 10 of their papers we have counts for
4 papers · 1 filter
On the symmetry approach to reduction of partial differential equations
I. M. Tsyfra
We propose the symmetry reduction method of partial differential equations to the system of differential equations with fewer number of independent variables. We also obtain genera…
Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields
Wilhelm I. Fushchych, Ivan M. Tsyfra, Vyacheslav M. Boyko
We construct nonlinear representations of the Poincare, Galilei, and conformal algebras on a set of the vector-functions . A nonlinear complex equation of Euler…
A precise definition of reduction of partial differential equations
Renat Z. Zhdanov, Ivan M. Tsyfra, Roman O. Popovych
We give a comprehensive analysis of interrelations between the basic concepts of the modern theory of symmetry (classical and non-classical) reductions of partial differential equa…
Symmetry of the Schrödinger equation with variable potential
Wilhelm Fushchych, Zoya Symenoh, Ivan Tsyfra
We study symmetry properties of the Schrödinger equation with the potential as a new dependent variable, i.e., the transformations which do not change the form of the class of equa…