Based on the Jaynes-Cummings (JC) model for many m-pho ton correlated-
spontaneous-emission lasers (GEL), we give the nonlinear master equati
on for the matrix elements of the many m-photon CEL field. For many on
e-photon (m = 1) GEL, by using the Fokker-Planck equation, we discuss
the conditions for lasing without inversion and the noise reduction of
the laser field.