The resonant and non-resonant current drive and plasma how produced by
the Alfven and fast waves are discussed for both collisional and coll
isionless magnetized plasmas. The magneto-hydrodynamics approach is us
ed to study collisional plasma regimes, and the kinetic model is consi
dered for the weakly collisional plasmas. Time-averaged poloidal and t
oroidal ponderomotive forces driven by the Alfven waves are estimated
analytically and calculated numerically. The effect of plasma flow on
the driving forces is found. Balancing the ponderomotive force with th
e ion viscosity, strong sheared toroidal and poloidal plasma rotations
are found for wave dissipated power about 400 kW in small tokamaks. I
n this case hollow current profiles (inverted magnetic shear) can also
be achieved. This configuration can help create internal transport ba
rriers.