Email this article Coverings over lax integrable equations and their nonlocal symmetries
- Authors: Baran H.1, Krasil’shchik I.S.2, Morozov O.I.3, Vojčák P.1
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Affiliations:
- Mathematical Institute
- Independent University of Moscow
- Faculty of Applied Mathematics
- Issue: Vol 188, No 3 (2016)
- Pages: 1273-1295
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/170744
- DOI: https://doi.org/10.1134/S0040577916090014
- ID: 170744
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Abstract
We consider the three-dimensional rdDym equation uty = uxuxy −uyuxx. Using the known Lax representation with a nonremovable parameter and two hierarchies of nonlocal conservation laws associated with it, we describe the algebras of nonlocal symmetries in the corresponding coverings.
About the authors
H. Baran
Mathematical Institute
Author for correspondence.
Email: Hynek.Baran@math.slu.cz
Czech Republic, Opava
I. S. Krasil’shchik
Independent University of Moscow
Email: Hynek.Baran@math.slu.cz
Russian Federation, Moscow
O. I. Morozov
Faculty of Applied Mathematics
Email: Hynek.Baran@math.slu.cz
Poland, Kraków
P. Vojčák
Mathematical Institute
Email: Hynek.Baran@math.slu.cz
Czech Republic, Opava
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