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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| Date: | 2025 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2025
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/539 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |  |