ABSTRACT
This chapter considers various approximate methods used for solution of the system of the linear Kinetic Equations (KEs) for single-particle distribution functions integrated over time. On the basis of solutions obtained we shall derive expressions for inclusive cross-sections for production of secondary nucleons and set forth the method which allows one to take into account the contribution of quantum-mechanical effects to these cross-sections as well. The contribution coming from subsequent collisions can be determined on the basis of the analytic solution of the system of KEs. Analytic methods used for solving KEs play a significant role in the substantiation of the INC-model and in the study of the dependence of characteristics of reactions on the details and parameters of the model. The system of KEs describing an INC can be solved using both analytic and numerical methods. It becomes possible to obtain an analytic solution for a nucleonic cascade at the expense of introducing certain approximations.
