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


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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.

About the authors

B. S. Kruglikov

Department of Mathematics and Statistics, Faculty of Science and Technology

Author for correspondence.
Email: boris.kruglikov@uit.no
Norway, Tromsø

O. I. Morozov

Faculty of Applied Mathematics

Email: boris.kruglikov@uit.no
Poland, Kraków

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