2D Toda chain and associated commutator identity
Exactly Solvable and Integrable Systems
2007-11-08 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Developing observation made in \cite{commut} we show that simple identity of the commutator type on an associative algebra is in one-to-one correspondence to 2D (infinite) Toda chain. We introduce representation of elements of associative algebra that, under some generic conditions, enables derivation of the Toda chain equation and its Lax pair from the given commutator identity.
Keywords
Cite
@article{arxiv.0711.0969,
title = {2D Toda chain and associated commutator identity},
author = {A. K. Pogrebkov},
journal= {arXiv preprint arXiv:0711.0969},
year = {2007}
}
Comments
9 pages