94 citations · 103 across the 10 of their papers we have counts for
10 papers
Reducing of system of partial differential equations and generalized symmetry of ordinary differential equations
I. M. Tsyfra, P. Sitko
Symmetry reductions of systems of two nonlinear partial differential equations are studied. We find ansatzes reducing system of partial differential equations to system of ordinary…
Generalized symmetry reduction of nonlinear differential equations
I. M. Tsyfra, W. Rzeszut, V. A. Vladimirov
We study the application of generalized symmetry for reducing nonlinear partial differential equations. We construct the ansatzes for dependent variable which reduce the scalar…
On a reduction of nonlinear evolution and wave type equations via non-point symmetry method
Ivan Tsyfra
We study the symmetry reduction of nonlinear evolution and wave type differential equations by using operators of non-point symmetry. In our approach we use both operators of class…
Non-point symmetry reduction method of partial differential equations
Ivan Tsyfra, Tomasz Czyżycki
We study the symmetry reduction of nonlinear partial differential equations with two independent variables. We propose new ansätze reducing nonlinear evolution equations to system…
Lie-Bäcklund symmetry and non-invariant solutions of nonlinear evolution equations
Ivan M. Tsyfra, Wojciech Rzeszut, Vsevolod A. Vladimirov
We study the symmetry reduction of nonlinear partial differential equations which are used for describing diffusion processes in nonhomogeneous medium. We find ansatzes reducing pa…
Equivalence and integrability of second order linear ODEs
Ivan Tsyfra, Tomasz Czyzycki
We consider a class of linear ODEs of second order with variable coefficients and construct its Lie algebra of Lie group of equivalence transformations. Further we find invariants…