Linear Darboux polynomials for Lotka-Volterra systems, trees and superintegrable families

G. R. W. Quispel, Benjamin K. Tapley, D. I. McLaren +1

We present a method to construct superintegrable $n$-component Lotka-Volterra systems with $3n-2$ parameters. We apply the method to Lotka-Volterra systems with $n$ components for…