This thesis presents the multiphoton electron-positron pair production through nonlinearrnchannels by superintense oppositely directed laser pulses of the same frequencies in vacuum.rnOn the basis of the Dirac model the resonance approximation for vacuum inducedrntransitions is developed. The analytic formulas for energetic and angular distributions andrntotal number of electron-positron pair in the limit of a short interaction time are obtained.rnThe obtained approximate nonlinear solution of the Dirac equation is applicable in thern eld when the energy of interaction with the Dirac vacuum is comparable to the electronrnrest mass. Using intense electromagnetic eld of a laser beam we can obtain one eÀ€€; e+rnpair. Passing to higher harmonics the number of photons decreases while it produced onerneð€€€; e+ of pair. However, for the number of eð€€€; e+ pair to be create the applicability valuernof incident radiation (q) will be in the range of 1.4-1.43 and laser frequency (!; 3!; 5!)rnfor this process