Exact self-similar solutions for radiative heat transfer equations in a kinetic model with regular mode

The paper demonstrates a possibility of applying the known class of analytical self-similar solutions in the form of the traveling heat wave for a system of nonlinear integral-differential equations describing radiative transfer for non-stationary, quasi-stationary, and regular modes of solution behavior. The solutions are constructed for a kinetic model in the Cartesian geometry under the assumption of local thermodynamic equilibrium with specially chosen absorption and scattering coefficients. A test problem for different solution modes is provided.