%0 Journal Article
%T Lie symmetries of fundamental solutions of one (2+1)-dimensional ultra-parabolic Fokker--Planck--Kolmogorov equation
%A Sergii Kovalenko
%A Valeriy Stogniy
%A Maksym Tertychnyi
%J Mathematics
%D 2014
%I arXiv
%X A (2+1)-dimensional linear ultra-parabolic Fokker--Planck--Kolmogorov equation is investigated from the group-theoretical point of view. By using the Berest--Aksenov approach, an algebra of invariance of fundamental solutions of the equation is found. A fundamental solution of the equation under study is computed in an explicit form as a weak invariant solution.
%U http://arxiv.org/abs/1408.0166v1