Extension of Moyal-deformed hierarchies of soliton equations

Details Extension of Moyal-deformed hierarchies of soliton equations Extension of Moyal-deformed hierarchies of soliton equations

2004-08-13

arxiv.org/abs/nlin/0408023v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, proceedings XI-th International Conference Symmetry Methods in Physics (Prague, June 2004)

Scientific paper

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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