Group classification of a class of generalized nonlinear Kolmogorov equations and exact solutions
Analysis of PDEs
2018-10-24 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1709.08914,
title = {Group classification of a class of generalized nonlinear Kolmogorov equations and exact solutions},
author = {Inna Rassokha and Mykola Serov and Stanislav Spichak and Valeriy Stogniy},
journal= {arXiv preprint arXiv:1709.08914},
year = {2018}
}