A B\"acklund transformation between 4D Mart\'{\i}nez Alonso -- Shabat and Ferapontov -- Khusnutdinova equations
Boris Kruglikov, Oleg Morozov
TL;DR
This paper establishes a Bäcklund transformation connecting two complex 4D integrable equations, enhancing understanding of their relationship and integrability properties.
Contribution
It introduces a novel Bäcklund transformation linking the Martínez Alonso--Shabat and Ferapontov--Khusnutdinova equations, two important 4D integrable systems.
Findings
Established a Bäcklund transformation between the equations
Enhanced understanding of the integrability structure
Provided a new tool for analyzing these equations
Abstract
We find a B\"acklund transformation between 4-dimensional Mart\'{\i}nez Alonso -- Shabat and Ferapontov -- Khusnutdinova equations.
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