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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 188, Number 3, Pages 456–458
DOI: https://doi.org/10.4213/tmf9081 (Mi tmf9081) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A Bäcklund transformation between the four-dimensional Martínez Alonso–Shabat and Ferapontov–Khusnutdinova equations

B. S. Kruglikova, O. I. Morozovb

a Department of Mathematics and Statistics, Faculty of Science and Technology, University of Tromsø, Tromsø, Norway
b Faculty of Applied Mathematics, AGH University of Science and Technology, Kraków, Poland
Full-text PDF (306 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf9081
Abstract: We find a Bäcklund transformation between the four-dimensional Martínez Alonso–Shabat and Ferapontov–Khusnutdinova equations. We also discuss an integrable deformation of the Martínez Alonso–Shabat equation.
Keywords: integrable equation, Lax pair, Bäcklund transformation, symmetry algebra.
English version:
Theoretical and Mathematical Physics, 2016, Volume 188, Issue 3, Pages 1358–1360
DOI: https://doi.org/10.1134/S0040577916090063
Bibliographic databases:
PACS: 02.30.Ik
MSC: 37K35, 58J72
Language: Russian
Citation: B. S. Kruglikov, O. I. Morozov, “A Bäcklund transformation between the four-dimensional Martínez Alonso–Shabat and Ferapontov–Khusnutdinova equations”, TMF, 188:3 (2016), 456–458; Theoret. and Math. Phys., 188:3 (2016), 1358–1360
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9081
  • https://doi.org/10.4213/tmf9081
  • https://www.mathnet.ru/eng/tmf/v188/i3/p456
    • This publication is cited in the following 5 articles:
    1. Jiřina Jahnová, Petr Vojčák, “A straightforward construction of Z-graded Lie algebras of full-fledged nonlocal symmetries via recursion operators”, Physica D: Nonlinear Phenomena, 2025, 134658  crossref
    2. Jiřina Jahnová, Petr Vojčák, “On Recursion Operators for Full-Fledged Nonlocal Symmetries of the Reduced Quasi-classical Self-dual Yang–Mills Equation”, Ann. Henri Poincaré, 2024  crossref
    3. O. I. Morozov, “Isospectral deformation of the reduced quasi-classical self-dual Yang-Mills equation”, Differ. Geom. Appl., 76 (2021), 101742  crossref  mathscinet  isi
    4. O. I. Morozov, “Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations”, J. Geom. Phys., 128 (2018), 20–31  crossref  mathscinet  zmath  isi  scopus
    5. O. I. Morozov, M. V. Pavlov, “Bäcklund transformations between four Lax-integrable 3D equations”, J. Nonlinear Math. Phys., 24:4 (2017), 465–468  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:68
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