On group classification of differential equations: algebraic approach

Using the classical Lie theorem on realizations of Lie algebras by vector fields on the line, we substantially simplify the proof of the known results on the group classification of the classes of (1+1)-dimensional nonlinear evolution equations ut=H(uxx) and ut+uux=H(uxx).

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Bibliographische Detailangaben
Datum:2025
Hauptverfasser: Huraka, Sofiia, Lokaziuk, Oleksandra, Гурака, Софія, Локазюк, Олександра
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Інститут математики НАН України 2025
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/539
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Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine