Closed-Form Solutions for Some Two-Group Problems with Anisotropic Scattering

A method for solving systems of two or more singular integral equations with Cauchy kernel (or equivalent systems of the Wiener-Hopf type) is indicated. The class of systems considered is neither physically nor mathematically trivial. The proposed technique is applicable to some problems of neutron transport in the many-group approximation as well as to transport problems in different fields.