Article

    Ufa Mathematical Journal
    Volume 7, Number 3, pp. 38-46

    Preliminary group classification of $(2+1)$-dimensional linear ultraparabolic Kolmogorov--Fokker--Planck equations.


    Davydovych V.V.

    DOI:10.13108/2015-7-3-38

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    Abstact


    We make a preliminary group classification of a class of $(2+1)$-dimensional ultraparabolic equations invariant under low-dimensional solvable Lie algebras. It is shown that there exist one, six and four non-equivalent ultraparabolic equations admitting two-, three-, and four-dimensional solvable Lie algebras, respectively.