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

2007/03/13 by G. Ortenzi, Giovanni Ortenzi
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.3842/sigma.2007.047

published as SIGMA 3 (2007), 047, 10 pages · This 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/

arxiv created 2007/03/13 · openalex publication_date 2007/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants
• A Three-component Extension of the Camassa–Holm Hierarchy
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• On the bi-Hamiltonian structures of the Camassa-Holm and Harry Dym equations