Differential-difference dynamical systems associated with the Dirac difference operator and their total integrability
type: Item
instance of: scholarly article
title: Differential-difference dynamical systems associated with the Dirac difference operator and their total integrability
zbMATH Open document ID: 0574.35075
DOI: 10.1007/BF01059710
published in: Ukrainian Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: A hierarchy of completely integrable differential-difference systems associated with a rational operator bundle of Dirac type is studied. Exact solutions of finite-zone type and nonlinear trace formulae are also given. The Hamiltonian formalism for the systems in question is developed.
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 37K20
zbMATH DE Number: 3916876
zbMATH Keywords: Akhiezer function
zbMATH Keywords: inverse spectral problem
zbMATH Keywords: Poisson brackets
zbMATH Keywords: Theta-functions
zbMATH Keywords: Riemannian surface
zbMATH Keywords: completely integrability
zbMATH Keywords: rational operator bundle of Dirac type
zbMATH Keywords: Exact solutions
zbMATH Keywords: finite-zone type
zbMATH Keywords: nonlinear trace formulae
zbMATH Keywords: Hamiltonian formalism
author: Yu. A. Mitropol'skij
author: Valeriy H. Samoylenko
reviewed by: Victor Chulaevsky
MaRDI profile type: Publication
cites work: The spectrum of difference operators and algebraic curves
cites work: Nonlinear differential−difference equations
cites work: Q3732103
cites work: Q4090743
cites work: Q5620799
cites work: Q4183612
full work available at URL: https://doi.org/10.1007/bf01059710
OpenAlex ID: W2028692017
description: scientific article; zbMATH DE number 3916876