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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 188, Number 3, Pages 361–385
DOI: https://doi.org/10.4213/tmf9044 (Mi tmf9044) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Coverings over Lax integrable equations and their nonlocal symmetries

H. Barana, I. S. Krasil'shchikb, O. I. Morozovc, P. Vojčáka

a Mathematical Institute, Silesian University in Opava, Opava, Czech Republic
b Independent University of Moscow, Moscow, Russia
c Faculty of Applied Mathematics, AGH University of Science and Technology, Kraków, Poland
Full-text PDF (664 kB) Citations (16)
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DOI: https://doi.org/10.4213/tmf9044
Abstract: We consider the three-dimensional rdDym equation $u_{ty}=u_xu_{xy}- u_yu_{xx}$. 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.
Keywords: partial differential equation, three-dimensional rdDym equation, nonlocal symmetry, recursion operator.
Funding agency Grant number
Simons Foundation
Ministry of Science and Higher Education (Poland)
The research of I. S. Krasil'shchik was supported in part by a Simons-IUM fellowship. The research of O. I. Morozov was supported by the Polish Ministry of Science and Higher Education.
English version:
Theoretical and Mathematical Physics, 2016, Volume 188, Issue 3, Pages 1273–1295
DOI: https://doi.org/10.1134/S0040577916090014
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: H. Baran, I. S. Krasil'shchik, O. I. Morozov, P. Vojčák, “Coverings over Lax integrable equations and their nonlocal symmetries”, TMF, 188:3 (2016), 361–385; Theoret. and Math. Phys., 188:3 (2016), 1273–1295
Citation in format AMSBIB
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\paper Coverings over Lax integrable equations and their nonlocal symmetries
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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