Homogeneous darboux polynomials and generalising integrable ODE systems

Van Der Kamp, Pieter; McLaren, David; Quispel, Gilles

doi:10.26181/6051a031b5273

1154817_van_der_Kamp,P_2021.pdf (279.81 kB)

Homogeneous darboux polynomials and generalising integrable ODE systems

journal contribution

posted on 2021-03-17, 06:02 authored by Pieter Van Der KampPieter Van Der Kamp, David McLarenDavid McLaren, Gilles QuispelGilles Quispel

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in [insert journal title] following peer review. The definitive publisher-authenticated version [insert complete citation information here] is available online at: http://www.aimsciences.org/article/doi/10.3934/jcd.2021001

We show that any system of ODEs can be modified whilst preserving its homogeneous Darboux polynomials. We employ the result to generalise a hierarchy of integrable Lotka-Volterra systems.

History

Publication Date

2021-01-01

Journal

Journal of Computational Dynamics

Volume

8

Issue

1

Pagination

(p. 1-8)

Publisher

American Institute of Mathematical Sciences (AIMS)

ISSN

2158-2505

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