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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 4 scientific papers (total in 4 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 (4)
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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://doi.org/10.4213/tmf9081
  • https://www.mathnet.ru/eng/tmf/v188/i3/p456
    • This publication is cited in the following 4 articles:
    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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    Full-text PDF :125
    References:66
    First page:19
     
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