On an integrable discretisation of the Ablowitz-Ladik hierarchy
From MaRDI portal
Publication:5402266
DOI10.1063/1.4807418zbMath1298.37065arXiv1303.1639OpenAlexW3100691252MaRDI QIDQ5402266
Publication date: 6 March 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.1639
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems in classical and celestial mechanics (37N05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items
Discretizations of the generalized AKNS scheme ⋮ Integrable semi-discretization of the massive Thirring system in laboratory coordinates ⋮ An algebraic approach to discrete time integrability
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bäcklund transformations for the Kirchhoff top
- A systematic method for constructing time discretizations of integrable lattice systems:localequations of motion
- On Bäcklund transformations for many-body systems
- Nonlinear differential−difference equations
- Nonlinear differential–difference equations and Fourier analysis
- On the Solution of a Class of Nonlinear Partial Difference Equations
- A note on an integrable discretization of the nonlinear Schrödinger equation
- Bäcklund transformations and Hamiltonian flows
- Bäcklund transformations for the elliptic Gaudin model and a Clebsch system