A collection of integrable systems of the Toda type in continuous and discrete time, with 2x2 Lax representations

Details A collection of integrable systems of the Toda type in continuous and discrete time, with 2x2 Lax representations A collection of integrable systems of the Toda type in continuous and discrete time, with 2x2 Lax representations

1997-03-06

arxiv.org/abs/solv-int/9703004v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

33 pp, LaTeX

Scientific paper

A fairly complete list of Toda-like integrable lattice systems, both in the
continuous and discrete time, is given. For each system the Newtonian,
Lagrangian and Hamiltonian formulations are presented, as well as the 2x2 Lax
representation and r-matrix structure. The material is given in the "no
comment" style, in particular, all proofs are omitted.

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