2D Toda chain and associated commutator identity
Abstract
Developing observation made in \cite{commut} we show that simple identity of the commutator type on an associative algebra is in onetoone 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.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.0969
 Bibcode:
 2007arXiv0711.0969P
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 9 pages