On quadratic Poisson brackets

Date

2005-04-01

Author

Kişisel, Ali Ulaş Özgür

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In this paper, we present a method for constructing large families of quadratic Poisson brackets on a manifold using more elementary brackets on a different manifold. The method is then applied to several examples of completely integrable systems. One can recover several known brackets for systems such as the Toda lattice or the open discrete KP hierarchy. New brackets for a doubly periodic discrete KP hierarchy are also constructed. (C) 2005 American Institute of Physics.

Subject Keywords

Mathematical Physics, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/36391

Journal

JOURNAL OF MATHEMATICAL PHYSICS

DOI

https://doi.org/10.1063/1.1866221

Collections

Department of Mathematics, Article

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Citation Formats

A. U. Ö. Kişisel, “On quadratic Poisson brackets,” JOURNAL OF MATHEMATICAL PHYSICS, pp. 0–0, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36391.