B. S. Kruglikov, O. I. Morozov, “A Bäcklund transformation between the four-dimensional Martínez Alonso–Shabat and Ferapontov–Khusnutdinova equations”, TMF, 2016, Volume 188, Number 3,Pages <nobr>456

This article is cited in 5 papers

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

B. S. Kruglikov^a, O. I. Morozov^b

^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.

PACS: 02.30.Ik

MSC: 37K35, 58J72

DOI: 10.4213/tmf9081