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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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf9081https://doi.org/10.4213/tmf9081 https://www.mathnet.ru/eng/tmf/v188/i3/p456
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Abstract page: | 304 | Full-text PDF : | 105 | References: | 52 | First page: | 19 |
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