Discrete time Toda systems

作者：Suris Yuri B^*

来源：Journal of Physics A-Mathematical and Theoretical, 2018, 51(33): 333001.

DOI：10.1088/1751-8121/aacbdc;333001

• discrete integrable systems
• multi-dimensional consistency
• pluri-Lagrangian structure
• discrete Laplace type equations
• discrete time Toda lattice

In this paper, we discuss several concepts of the modem theory of discrete integrable systems, including:
Time discretization based on the notion of Backlund transformation.
Symplectic realizations of multi-Hamiltonian structures.
Interrelations between discrete ID systems and lattice 2D systems.
Multi-dimensional consistency as integrability of discrete systems.
Interrelations between integrable systems of quad-equations and integrable systems of Laplace type.
Pluri-Lagrangian structure as integrability of discrete variational systems.
All these concepts are illustrated by the discrete time Toda lattices and their relativistic analogs.

• 出版日期2018-8-17