A family of integrable differential-difference equations: tri-Hamiltonian structure and Lie algebra of vector fields
DOI10.1155/2021/9912387zbMath1486.37037OpenAlexW3196498030WikidataQ114069843 ScholiaQ114069843MaRDI QIDQ2059285
Publication date: 13 December 2021
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/9912387
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lattice dynamics; integrable lattice equations (37K60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Novel soliton hierarchies of Levi type and their bi-Hamiltonian structures
- A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system
- Semi-direct sums of Lie algebras and continuous integrable couplings
- Theory of nonlinear lattices.
- New symplectic maps: integrability and Lax representation
- New integrable lattice hierarchies
- Two integrable couplings of a generalized d-Kaup-Newell hierarchy and their Hamiltonian and bi-Hamiltonian structures
- Conservation laws and \(\tau\)-symmetry algebra of the Gerdjikov-Ivanov soliton hierarchy
- A tri-Hamiltonian formulation of a new soliton hierarchy associated with \(\mathrm{so}(3,\mathbb R)\)
- Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies
- New soliton hierarchies associated with the real Lie algebra so(4,R)
- Integrable couplings of relativistic Toda lattice systems in polynomial form and rational form, their hierarchies and bi-Hamiltonian structures
- R-matrix approach to lattice integrable systems
- A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
- Hamiltonian structure of discrete soliton systems
- On the Toda Lattice. II: Inverse-Scattering Solution
- Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
- AN ALGEBRAIC STRUCTURE OF ZERO CURVATURE REPRESENTATIONS ASSOCIATED WITH COUPLED INTEGRABLE COUPLINGS AND APPLICATIONS TO τ-SYMMETRY ALGEBRAS
- A Hierarchy of Lax Integrable Lattice Equations, Liouville Integrability and a New Integrable Symplectic Map
- A discrete variational identity on semi-direct sums of Lie algebras
- A trace identity and its applications to the theory of discrete integrable systems
This page was built for publication: A family of integrable differential-difference equations: tri-Hamiltonian structure and Lie algebra of vector fields
