3 papers
nlin.SI2026
On the relation between the dual AKP equation and an equation by King and Schief, and its N-soliton solution
Peter H. van der Kamp, Da-jun Zhang, G. R. W. Quispel
The Dual of the lattice AKP (DAKP) equation [P.H. van der Kamp et al., J. Phys. A 51, 365202 (2018)] is equivalent to a 14-point equation related to the lattice BKP equation, found…
nlin.SI2025
Hypergraphs and Lotka-Volterra systems with linear Darboux polynomials
Peter H. van der Kamp
We associate parametric classes of -component Lotka-Volterra systems which admit additional linear Darboux polynomials, with admissible loopless hypergraphs of order and…
nlin.SI2024
On a quadratic Poisson algebra and integrable Lotka-Volterra systems with solutions in terms of Lambert's W function
Peter H. van der Kamp, D. I. McLaren, G. R. W. Quispel
We study a class of integrable nonhomogeneous Lotka-Volterra systems whose quadratic terms are defined by an antisymmetric matrix and whose linear terms consist of three blocks. We…