The general approach to Alfven-wave current drive and induced plasma r
otation in tokamaks with strongly elongated transverse cross-sections
is considered. Model approximations are used to describe the circulati
ng- and trapped-particle dynamics in all particle-trapping regions. Th
is approach gives an accuracy of some percent. New terms, connected wi
th the wave dissipation on trapped particles in the second and third t
rapped-particle regions for elongated tokamaks, are taken into account
. The plasma rotation and longitudinal current, depending on the absor
bed power of kinetic Alfven waves, are discussed.