The properties of nonlinear longitudinal electronic waves propagating
through warm plasma are examined. Thus, using the kinetic theory and t
he reductive perturbation method in the third order of approximation,
it is shown that the nonlinear wave-wave interactions lead to phase ve
locity shifts. When the thermal velocity, nu(T), is much smaller than
the phase velocity, nu(f) (nu(T)much less than nu(f)), an energy trans
fer appears from the wave to the plasma electrons, together with a dec
rease in the phase velocity. However, when electrons with high velocit
ies V(z)much greater than nu(f) are injected in plasma, they determine
an energy transfer from the particles to the wave and an increase in
the phase velocity, too. (C) 1998 American Institute of Physics. [S107
0-664X(98)02612-3].