Rational solutions of the Sasano system of type $D_5^{(1)}$
Kazuhide Matsuda
TL;DR
This paper classifies all rational solutions of the Sasano system of type D5^{(1)} using Bäcklund transformations, providing a complete understanding of its rational solution structure.
Contribution
The paper offers the first complete classification of rational solutions for the D5^{(1)} Sasano system, leveraging Bäcklund transformations.
Findings
Rational solutions are classified into four distinct classes.
The classification is achieved through the Bäcklund transformation group.
Provides a comprehensive map of rational solutions for the system.
Abstract
We completely classify the rational solutions of the Sasano system of type The rational solutions are classified to four classes by the B\"acklund transformation group.
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