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

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.

arXiv commentThis is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (9)

• An integrable shallow water equation with peaked solitons
• A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions
• Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants
• Hydrodynamic reductions and solutions of a universal hierarchy
• Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy
• Hodograph transformations for a Camassa- Holm hierarchy in 2+1 dimensions
• A 3-component extension of the Camassa-Holm hierarchy
• Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows
• On the bi-Hamiltonian structures of the Camassa-Holm and Harry Dym equations