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 QuispelThis 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.