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

Authors

  • R. Zhdanov
  • V. Lahno

Abstract

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.

Симетрія і інтегровність рівнянь математичної фізики

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Published

2026-07-10 — Updated on 2006-11-14

Issue

Vol. 3 No. 2 (2006): Symmetry and Integrability of Equations of Mathematical Physics (Dedicated to the 70-th Anniversary of Professor W.I. Fushchych)

Section

Research papers

License

Copyright (c) 2006 Р. Жданов, В. Лагно

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Group analysis of the general second-order evolution equation: invariance with respect to groups of local transformations with non-trivial Levi decomposition. (2006). Transactions of Institute of Mathematics, the NAS of Ukraine, 3(2), 124-147. https://trim.imath.kiev.ua/index.php/trim/article/view/387