Group classification of a class of generalized nonlinear Kolmogorov equations and exact solutions (1709.08914v2)

Abstract: A class of generalized nonlinear Kolmogorov equations is investigated. We present the group classification of Lie symmetries of the class with respect to the group of equivalence transformations. We find a number of exact solutions of nonlinear Kolmogorov equations which has the maximal symmetry properties.