Group analysis of the general second-order evolution equation: invariance with respect to groups of local transformations with non-trivial Levi decomposition

In this article we consider the problem of group classification of general second-order evolution equation. We find the complete list of such equations whose groups of local transformations have nontrivial Levi decomposition.

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Bibliographic Details
Date:2006
Main Authors: Zhdanov, R., Lahno, V., Жданов, Р., Лагно, В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2006
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/387
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine