Semidiscrete Toda lattices

Details Semidiscrete Toda lattices Semidiscrete Toda lattices

2012-03-08

arxiv.org/abs/1203.1764v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages

Scientific paper

Integrable cut-off constraints for semidiscrete Toda lattice are studied in
this paper. Lax presentation for semidiscrete analog of the $C$-series Toda
lattice is obtained. Nonlocal variables that allow to express symmetries of the
infinite semidiscrete lattice are introduced and cut-off constraints or a
certain type compatible with symmetries of the infinite lattice are classified.

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