Work

Homogeneous bi-Hamiltonian structures and integrable contact systems

Year: 2025

Type: preprint

Abstract: Bi-Hamiltonian structures can be utilised to compute a maximal set of functions in involution for certain integrable systems, given by the eigenvalues of the recursion operator relating both Poisson structures. We show that the recursion operator relating two compatible Jacobi structures cannot produce a maximal set of functions in involution. However, as we illustrate with an example, bi-Hamiltonian structures can still be used to obtain a maximal set of functions in involution on a contact manifold, at the cost of symplectisation.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2502.17269

Authors: Colombo, Leonardo, de León, Manuel, Irazú, María Emma Eyrea, López-Gordón, Asier

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4414849613

Cites:

Cited by:

Related to: