Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems

Details Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems

2008-07-08

arxiv.org/abs/0807.1294v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, LaTeX 2e, minor changes (typos fixed, English improved, etc.)

Scientific paper

10.1016/j.physleta.2008.10.020

We introduce the cotangent universal hierarchy that extends the so-called universal hierarchy (as for the latter, see e.g. arXiv:nlin/0202008, arXiv:nlin/0312043 and arXiv:nlin/0310036). Then we construct a (2+1)-dimensional double central extension of the cotangent universal hierarchy and show that this extension is bi-Hamiltonian. This yields, as a byproduct, the central extension of the original universal hierarchy.

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