P.H.J. van der Kamp

collaborators

3 papers

nlin.SI2026

Lattice KP type equations arising from eigenfunctions and Dbar problem

Leilei Shi, Peter van der Kamp, Cheng Zhang +1

In this paper, we construct the lattice Kadomtsev-Petviashvili (KP) type eigenfunction equations. A homogeneous nonlocal $\partial ˉ$ problem is considered, from which we are a…

nlin.SI2026

Liouville integrable Lotka-Volterra systems

Peter H. van der Kamp, David I. McLaren, G. R. W. Quispel

We present $\frac{m ^{2}}{4} + \frac{m}{2} + \frac{1 - ( - 1 ) ^{m}}{8}$ homogeneous $(3 m - 2)$ -parameter families of Liouville integrable $(2 m)$ - and $(2 m - 1)$ -dimensional Lotka-Volt…

nlin.SI2023

Trees and superintegrable Lotka-Volterra families

Peter H. van der Kamp, G. R. W. Quispel, D. I. McLaren

To any tree on $n$ vertices we associate an $n$ -dimensional Lotka-Volterra system with $3 n - 2$ parameters and, for generic values of the parameters, prove it is superintegrable, i.e…