Geodesic
Preliminary group classification of $(2+1)$-dimensional linear ultraparabolic Kolmogorov--Fokker--Planck equations
Ufa mathematical journal, Tome 7 (2015) no. 3, pp. 38-46

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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 nonequivalent ultraparabolic equations admitting two-, three-, and four-dimensional solvable Lie algebras, respectively.
Mots-clés : ultraparabolic equation, equivalence transformation, group classification, maximal invariance algebra, solvable Lie algebra. 
@article{UFA_2015_7_3_a4,
     author = {V. V. Davydovych},
     title = {Preliminary group classification of $(2+1)$-dimensional linear ultraparabolic {Kolmogorov--Fokker--Planck} equations},
     journal = {Ufa mathematical journal},
     pages = {38--46},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a4/}
}
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V. V. Davydovych. Preliminary group classification of $(2+1)$-dimensional linear ultraparabolic Kolmogorov--Fokker--Planck equations. Ufa mathematical journal, Tome 7 (2015) no. 3, pp. 38-46. http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a4/