Linear magnetohydrodynamic (MHD) modes in a cold, nonrelativistic elec
tron-positron plasma shear flow are considered. The general set of dif
ferential equations, describing the evolution of perturbations in the
framework of the nonmodal approach is derived. It is found, that under
certain circumstances, the compressional and shear Alfven perturbatio
ns may exhibit large transient growth fueled by the mean kinetic energ
y of the shear flow, The velocity shear also induces mode coupling, al
lowing the exchange of energy as well as the possibility of a strong m
utual transformation of these modes into each other. The compressional
Alfven mode may extract the energy of the mean flow and transfer it t
o the shear Alfven mode via this coupling. The relevance of these new
physical effects to provide a better understanding of the laboratory e
(+)e(-) plasmas in emphasized. It is speculated that the shear-induced
effects of the electron-positron plasmas could also help solve some a
strophysical puzzles (e.g., the generation of pulsar radio emission).
Since most astrophysical plasmas are relativistic, it is shown that th
e major results of the study remain valid for weakly shared relativist
ic plasma. (C) 1996 American Institute of Physic s.