Exactly solvable periodic Darboux q-chains
Ivan A. Dynnikov, Sergey V. Smirnov
TL;DR
This paper introduces an exactly solvable model of periodic Darboux q-chains, a difference q-analogue of the dressing chain, expanding the understanding of integrable systems in discrete mathematics.
Contribution
It presents a novel exactly solvable periodic Darboux q-chain model, extending the theory of integrable difference equations.
Findings
Derived explicit solutions for the q-chains
Established integrability properties of the model
Connected the model to known integrable systems
Abstract
A difference q-analogue of the dressing chain is discussed in this paper.
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Taxonomy
TopicsNonlinear Waves and Solitons · Molecular spectroscopy and chirality · Magnetism in coordination complexes