HOMOGENEOUS DARBOUX POLYNOMIALS AND GENERALISING INTEGRABLE ODE SYSTEMS

被引：1

作者：

van der Kamp, Peter H. ^{[1
]}

MClaren, D. I. ^{[1
]}

Quispel, G. R. W. ^{[1
]}

机构：

[1] La Trobe Univ, Dept Math & Stat, Bundoora, Vic 3086, Australia

来源：

JOURNAL OF COMPUTATIONAL DYNAMICS | 2021年 / 8卷 / 01期

关键词：

Darboux polynomials; Lotka-Volterra systems; Liouville integrability; superintegrability; ordinary differential equations;

D O I：

10.3934/jcd.2021001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 8

页数：8

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