On Rank Two Algebro--Geometric Solutions of an Integrable Chain
Gulnara S. Mauleshova, Andrey E. Mironov
TL;DR
This paper investigates rank two algebro-geometric solutions of a differential-difference system linked to the commutativity of two such operators, advancing understanding of integrable chains in algebraic geometry.
Contribution
It introduces a detailed analysis of rank two solutions for a specific integrable differential-difference system, expanding the class of known solutions in algebraic geometry.
Findings
Characterization of rank two solutions
Explicit construction methods for solutions
Insights into the structure of integrable chains
Abstract
In this paper we consider a differential--difference system which is equivalent to the commutativity condition of two differential--difference operators. We study the rank two algebro--geometric solutions of this system.
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Taxonomy
TopicsNonlinear Waves and Solitons · Differential Equations and Numerical Methods · Advanced Differential Equations and Dynamical Systems