Babkov O.K., Mukhametova G.Z.
Group classification of third order nonlinear wave equations chain’s. Multiphase Systems. 15 (2020) 3–4. 232–237 (in Russian).
Group classification of third order nonlinear wave equations chain’s
Babkov O.K., Mukhametova G.Z.
Ufa State Aviation Technical University, Ufa, Russia
Abstract
The paper presents the results of point symmetrys Lie algebras for third-order nonlinear wave equations calculating
linked into a chain by Bäcklund transformations. Calculations are carried out by using Lie-Ovsyannikov method of
group analysis. The basic algebras of point symmetries of the indicated equations are found, all possible cases of
their extension are revealed, and the commutator tables of algebras found are calculated.
Keywordsdifferential equations’s chain,
group classification,
admissible operator,
Lie algebra,
commutators table
References
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