Extension of Moyal-deformed hierarchies of soliton equations

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Moyal-deformed hierarchies of soliton equations can be extended to larger hierarchies by including additional evolution equations with respect to the deformation parameters. A general framework is presented in which the extension is universally determined and which applies to several deformed hierarchies, including the noncommutative KP, modified KP, and Toda lattice hierarchy. We prove a Birkhoff factorization relation for the extended ncKP and ncmKP hierarchies. Also reductions of the latter hierarchies are briefly discussed. Furthermore, some results concerning the extended ncKP hierarchy are recalled from previous work.
15 pages, proceedings XI-th International Conference Symmetry Methods in Physics (Prague, June 2004)

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Exactly Solvable and Integrable Systems, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/80800

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0408023
 http://arxiv.org/abs/nlin/0408023

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arXiv