2 papers
math.AP2018
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…
math.AP2017
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…