Homogeneous Darboux polynomials and generalising integrable ODE systems

Autor:	van der Kamp, Peter H., McLaren, D. I., Quispel, G. R. W.
Rok vydání:	2020
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics Mathematics - Classical Analysis and ODEs Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.08548 Zobrazit plný text záznamu View this record from Arxiv