Radiative transfer equations are derived and solved for the stimulated Rama
n scattering of water maser lines in the astrophysical plasmas with electro
ns density of about 10(6)-10(7) cm(-3). In stimulated Raman scattering, the
energy of the water maser line is transferred to the side band modes: Stok
es mode and anti-Stokes mode. The Stokes mode is easily produced by backwar
d Raman scattering while the anti-Stokes mode is created by the interacting
intersecting masers in the plasma. The intensity of the Stokes mode is hig
her than that of the anti-Stokes mode. These side band modes are proposed a
s explanation for the extreme velocity features observed in the galaxy NGC
4258. The threshold value of the brightness temperature for the Raman scatt
ering is about 10(16)-10(19) K, and it is satisfied in the case of NGC 4258
. (C) 1999 American Institute of Physics. [S1070-664X(99)02610-5].