Roman Cherniha
Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivska Street, 01601 Kyiv-4, UKRAINE
e-mail: cherniha@imath.kiev.ua

Mykola Serov
Poltava Technical University,
Poltava, UKRAINE
E-mail: vschmat@pstu.pi.net.ua

Nonlinear Diffusion-Convection Systems: Lie and Q-conditional Symmetries

Abstract:
New Lie and Q-conditional symmetries  for nonlinear  systems of two diffusion-convection equations in two-dimensional time-space are established. A system of two coupled Burgers type equations  is investigated in details.