Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein–Gordon equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Algebra and Number Theory,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s13324-021-00550-z.pdf
Reference61 articles.
1. Akhatov, I.S., Gazizov, R.K., Ibragimov, N.K.: Nonlocal symmetries. A heuristic approach. J. Soviet Math. 55, 1401–1450 (1991)
2. Basarab-Horwath, P., Lahno, V., Zhdanov, R.: The structure of Lie algebras and the classification problem for partial differential equations. Acta Appl. Math. 69, 43–94 (2001). arXiv:math-ph/0005013
3. Bihlo, A., Dos Santos Cardoso-Bihlo E., Popovych, R.O.: Complete group classification of a class of nonlinear wave equations, J. Math. Phys. 53, 123515 (2012). arXiv:1106.4801
4. Bihlo, A., Poltavets, N., Popovych, R.O.: Lie symmetries of two-dimensional shallow water equations with variable bottom topography. Chaos 30, 073132 (2020). arXiv:1911.02097
5. Bihlo, A., Popovych, R.O.: Group classification of linear evolution equations. J. Math. Anal. Appl. 448, 982–2015 (2017). arXiv:1605.09251
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