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arXiv · hep-th/0103063

Properties of Moyal-Lax Representation

Ashok Das·Ziemowit Popowicz
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Abstract

The Moyal-Lax representation and the Moyal momentum algebra are introduced and systematically investigated. It is shown that the Moyal-Lax equation can be interpreted as a Hamiltonian equation and can be derived from an action. We show that the parameter of non-commutativity, in this case, is related to the central charge of the second Hamiltonian structure of the system. The Moyal-Lax description leads in a natural manner to the dispersionless limit and provides the second Hamiltonian structure of dispersionless integrable models, which has been an open question for sometime.

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Ashok Das, Ziemowit Popowicz. 2001-05-03. Properties of Moyal-Lax Representation. https://doi.org/10.1016/s0370-2693(01)00561-5

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