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  Extension of Moyal-deformed hierarchies of soliton equations

Dimakis, A., & Müller-Hoissen, F. (2004). Extension of Moyal-deformed hierarchies of soliton equations. In C. Burdik, O. Navratil, & S. Posta (Eds.), XI International Conference Symmetry Methods in Physics. Dubna: Joint Institute for Nuclear Research.

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 Creators:
Dimakis, Aristophanes, Author
Müller-Hoissen, Folkert1, Author           
Affiliations:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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Free keywords: deformation; factorization; hierarchy; KP; Moyal; soliton; star-product; Toda lattice
 Abstract: 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.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 207602
 Degree: -

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Title: XI International Conference Symmetry Methods in Physics
Place of Event: Prague
Start-/End Date: 2004-06-21 - 2004-06-24

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Title: XI International Conference Symmetry Methods in Physics
Source Genre: Proceedings
 Creator(s):
Burdik, C., Editor
Navratil, O., Editor
Posta, S., Editor
Affiliations:
-
Publ. Info: Dubna : Joint Institute for Nuclear Research
Pages: CD-ROM Volume / Issue: - Sequence Number: 18 Start / End Page: - Identifier: -