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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…