G. Quispel

activity

20002026

most citedSymbolic Computation of Lax Pairs of Partial Difference Equations Using Consistency Around the Cube

53 citations · 187 across the 29 of their papers we have counts for

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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.SI2026

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…