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arXiv 0711.0969nlin.SIhep-thmath-phmath.MP
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2D Toda chain and associated commutator identity

A. K. Pogrebkov

英文摘要:

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.

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