Alternative forms of the time-dependent neutron transport equation

This work is devoted to the derivation of alternative formulations of the one-velocity neutron transport equation. The Peierl's integral form of the transport equation is considered as the starting point. Using a generalization of the mathematical procedure applied to derive the AN approximation, two formulations are obtained, both second-order differential in time and space, which can be considered as alternative forms of the A∞ model. Some features and physical interpretations are investigated for the special case of plane geometry.