Roman Cherniha
TitleCited byYear
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms
R CHERNIHA, M SEROV
European Journal of Applied Mathematics 9 (5), 527-542, 1998
951998
Lie symmetries of nonlinear multidimensional reaction–diffusion systems: II
R Cherniha, JR King
Journal of Physics A: Mathematical and General 36 (2), 405, 2002
932002
Lie symmetries of nonlinear multidimensional reaction-diffusion systems: I
R Cherniha, JR King
Journal of Physics A: Mathematical and General 33 (2), 267, 2000
902000
Lie symmetries and form-preserving transformations of reaction–diffusion–convection equations
R Cherniha, M Serov, I Rassokha
Journal of Mathematical Analysis and Applications 342 (2), 1363-1379, 2008
622008
The Galilean relativistic principle and nonlinear partial differential equations
WI Fushchich, RM Cherniha
Journal of Physics A: Mathematical, Nuclear and General 18 (18), 3491-3503, 1985
571985
Non-linear reaction–diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions
R Cherniha, JR King
Journal of mathematical analysis and applications 308 (1), 11-35, 2005
532005
Galilei-invariant nonlinear systems of evolution equations
WI Fushchych, RM Cherniha
Journal of Physics A: Mathematical and General 28 (19), 5569, 1995
521995
New non-Lie ansätze and exact solutions of nonlinear reaction-diffusion-convection equations
RM Cherniha
Journal of Physics A: Mathematical and General 31 (40), 8179, 1998
481998
A constructive method for obtaining new exact solutions of nonlinear evolution equations
RM Cherniha
Reports on Mathematical Physics 38 (3), 301-312, 1996
401996
The exotic conformal Galilei algebra and nonlinear partial differential equations
R Cherniha, M Henkel
Journal of Mathematical Analysis and Applications 369 (1), 120-132, 2010
392010
Galilei invariant non-linear equations of schrödinger type and their exact solutions. I
VI Fushchich, RM Cherniga
Ukrainian Mathematical Journal 41 (10), 1161-1167, 1989
391989
New conditional symmetries and exact solutions of nonlinear reaction–diffusion–convection equations
R Cherniha, O Pliukhin
Journal of Physics A: Mathematical and Theoretical 40 (33), 10049, 2007
332007
New Q-conditional symmetries and exact solutions of some reaction–diffusion–convection equations arising in mathematical biology
R Cherniha
Journal of mathematical analysis and applications 326 (2), 783-799, 2007
332007
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms, II
R Cherniha, M Serov
European Journal of Applied Mathematics 17 (5), 597-605, 2006
322006
Nonlinear systems of the Burgers-type equations: Lie and Q-conditional symmetries, Ansätze and solutions
R Cherniha, M Serov
Journal of mathematical analysis and applications 282 (1), 305-328, 2003
322003
On non-linear partial differential equations with an infinite-dimensional conditional symmetry
R Cherniha, M Henkel
Journal of mathematical analysis and applications 298 (2), 487-500, 2004
272004
Lie symmetries of nonlinear boundary value problems
R Cherniha, S Kovalenko
Communications in Nonlinear Science and Numerical Simulation 17 (1), 71-84, 2012
262012
Conditional symmetries and exact solutions of the diffusive Lotka–Volterra system
R Cherniha
Mathematical and Computer Modelling 54 (5-6), 1238-1251, 2011
262011
Conditional symmetries for systems of PDEs: new definitions and their application for reaction–diffusion systems
R Cherniha
Journal of Physics A: Mathematical and Theoretical 43 (40), 405207, 2010
262010
Distributed modeling of glucose-induced osmotic flow.
J Waniewski, V Dutka, J Stachowska-Pietka, R Cherniha
Advances in peritoneal dialysis. Conference on Peritoneal Dialysis 23, 2-6, 2007
252007
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