Sur un syst\`eme int\'egrable \`a bord
Martin Kilian, Graham Smith
TL;DR
This paper applies Sklyanin's $K$-matrix formalism to explore periodic solutions of the sinh-Gordon equation, offering new insights into integrable systems with boundary conditions.
Contribution
It introduces novel applications of the $K$-matrix formalism to analyze boundary value problems in integrable systems.
Findings
Derived new periodic solutions of the sinh-Gordon equation
Extended Sklyanin's formalism to boundary conditions
Provided analytical methods for integrable boundary problems
Abstract
[French] We develop new applications of Sklyanin's -matrix formalism to the study of periodic solutions of the sinh-Gordon equation.
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Taxonomy
TopicsMaritime Navigation and Safety