Differential-difference dynamical systems associated with the Dirac difference operator and their total integrability

DOI10.1007/BF01059710zbMath0574.35075OpenAlexW2028692017MaRDI QIDQ1063798

Yu. O. Mitropol's'kii, Valeriy H. Samoylenko

Publication date: 1985

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01059710

zbMATH Keywords

Hamiltonian formalismPoisson bracketsinverse spectral problemRiemannian surfacecompletely integrabilityExact solutionsAkhiezer functionfinite-zone typenonlinear trace formulaerational operator bundle of Dirac typeTheta-functions

Mathematics Subject Classification ID

Additive difference equations (39A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) General theory of functional-differential equations (34K05)

Related Items

On the complete integrability of nonlinear dynamical systems on functional manifolds within the gradient-holonomic approach

Cites Work

• The spectrum of difference operators and algebraic curves
• Nonlinear differential−difference equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item