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19982025
most citedA precise definition of reduction of partial differential equations

94 citations · 103 across the 10 of their papers we have counts for

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Showing 2017Show all

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math.AP2017

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…

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…