21 citations · 21 across the 4 of their papers we have counts for
4 papers
Subalgebras of integrals, commutants, and superintegrable deformations of Lotka-Volterra systems
Ian Marquette, Peter H. van der Kamp, G. R. W. Quispel
We consider the Lie-algebraic notion of commutant in the setting of Poisson algebra. This provides a framework for deforming Hamiltonian differential equations. By taking a subalge…
A novel 8-parameter integrable map in
G R W Quispel, D I McLaren, P H van der Kamp
We present a novel 8-parameter integrable map in . The map is measure-preserving and possesses two functionally independent 2-integrals, as well as a measure-preservi…
Multi-Component Extension of CAC Systems
Dan-Da Zhang, Peter H. van der Kamp, Da-Jun Zhang
In this paper an approach to generate multi-dimensionally consistent -component systems is proposed. The approach starts from scalar multi-dimensionally consistent quadrilateral…
Symmetry condition in terms of Lie brackets
Peter H. van der Kamp
A passive orthonomic system of PDEs defines a submanifold in the corresponding jet manifold, coordinated by so called parametric derivatives. We restrict the total differential ope…