22 citations · 22 across the 5 of their papers we have counts for
5 papers
Some remarks about Lie and potential symmetries of a class of Korteweg-de Vries type equations
Oleksii Pliukhin, Danny Arrigo, Roman Cherniha
Preliminary results about Lie and potential symmetries of a class of Korteweg-de Vries type equations are presented. In order to prove existence of potential symmetries three diffe…
New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. III
Roman Cherniha, Oleksii Pliukhin
A complete description of -conditional symmetries of reaction-diffusion-convection equation with arbitrary power nonlinearities is finished. It is shown that the results obtaine…
New conditional symmetries and exact solutions of reaction-diffusion systems with power diffusivities
Roman Cherniha, Oleksii Pliukhin
A wide range of new Q-conditional symmetries for reaction-diffusion systems with power diffusivities are constructed. The relevant non-Lie ansatze to reduce the reaction-diffusion…
New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. II
Roman Cherniha, Oleksii Pliukhin
In the first part of this paper math-ph/0612078, a complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivit…
New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. I
Roman Cherniha, Olexii Pliukhin
A complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivities is derived. It is shown that all the known re…