The amplification of light signals (angular frequency UJS) in some isotropic media (D20, fused silica, and Schott type SF10 glasses) by noncollinear phase-matched parametric four-photon interaction u<\ + u 2 -> u$ + u\ is studied theoretically. Computer simulations are carried out for fundamental and second-harmonic pump pulses of a mode-locked Nd: glass laser. Degenerate interaction (wavelength A1=A2 = 1054nm or 527 nm) and nondegenerate interaction (A1= 1054nm/ A2 = 527nm) are considered. Characteristic phase-matching parameters and gain parameters versus wavelength are determined. Limitations by spectral bandwidth, optical absorption, optical damage, self-phase modulation, self-focusing and stimulated Raman scattering are analysed.