Посилання:Some Remarks on the KP System of the Camassa-Holm Hierarchy / G. Ortenzi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 28 назв. — англ.
Підтримка:This paper is a contribution to the Proceedings of the Workshop on Geometric Aspects of Integrable Systems (July 17–19, 2006, University of Coimbra, Portugal). The author thanks Marco Pedroni and Gregorio Falqui for very useful discussions and hints, and two anonymous referees for useful comments and bibliographical references.
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.