Geodesic
Classes of Bianchi Equations of Third Order
Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 389-400

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On the basis of determining equations written out in terms of Laplace invariants, some classes of Bianchi equations of third order similar to well-known classes of hyperbolic equations with two independent variables are singled out.
Keywords: Bianchi equation of third order, hyperbolic equation, Lie algebra
Mots-clés : Laplace invariant, Euler–Poisson equation, Liouville equation. 
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     author = {A. N. Mironov},
     title = {Classes of {Bianchi} {Equations} of {Third} {Order}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {389--400},
     publisher = {mathdoc},
     volume = {94},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a6/}
}
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A. N. Mironov. Classes of Bianchi Equations of Third Order. Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 389-400. http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a6/