Nataliya ICHANS'KA 1, Roman POPOVYCH 2 and Mykola SEROV 1
1Poltava Technical University,
 24 Pershotravnevyi Ave.,
 Poltava,
 UKRAINE
2Institute of Mathematics of NAS of Ukraine,
 3 Tereshchenkivs'ka Str.,
 01601 Kyiv,
 UKRAINE
E-mail: natasha.ichanska@mail.ru, rop@imath.kiev.ua

Q-conditional symmetry of (1+2)-dimensional nonlinear heat equations

Abstract:
All possible Q-conditional (non-classical) symmetry operators of (1+2)-dimensional nonlinear heat equations are classified with respect to the corresponding equivalence group and the corresponding set of admissible transformations.