Homogeneous Darboux polynomials and generalising integrable ODE systems
Exactly Solvable and Integrable Systems
2020-06-16 v2 Mathematical Physics
Classical Analysis and ODEs
Dynamical Systems
math.MP
Abstract
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.
Cite
@article{arxiv.2002.08548,
title = {Homogeneous Darboux polynomials and generalising integrable ODE systems},
author = {Peter H. van der Kamp and D. I. McLaren and G. R. W. Quispel},
journal= {arXiv preprint arXiv:2002.08548},
year = {2020}
}
Comments
6 pages