Homogeneous darboux polynomials and generalising integrable ODE systems
journal contributionposted on 2021-03-17, 06:02 authored by Pieter Van Der KampPieter Van Der Kamp, David McLarenDavid McLaren, Gilles QuispelGilles Quispel
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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.