Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 3 (2007), 047, 10 pages      nlin.SI/0703025      https://doi.org/10.3842/SIGMA.2007.047
Contribution to the Proceedings of the Coimbra Workshop on Geometric Aspects of Integrable Systems

Some Remarks on the KP System of the Camassa-Holm Hierarchy

Giovanni Ortenzi a, b
a) Dipartimento di Matematica Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
b) Dipartimento di Matematica e Applicazioni Università di Milano Bicocca, Via R. Cozzi 53, 20125 Milano, Italy

Received October 31, 2006, in final form January 22, 2007; Published online March 13, 2007

Abstract
We study a Kadomtsev-Petviashvili system for the local Camassa-Holm hierarchy obtaining a candidate to the Baker-Akhiezer function for its first reduction generalizing the local Camassa-Holm. We focus our attention on the differences with the standard KdV-KP case.

Key words: KP hierarchy; CH hierarchy; Sato Grassmannian.

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