G
G. R. W. Quispel
Researcher at La Trobe University
Publications - 169
Citations - 6975
G. R. W. Quispel is an academic researcher from La Trobe University. The author has contributed to research in topics: Integrable system & Differential equation. The author has an hindex of 38, co-authored 167 publications receiving 6422 citations. Previous affiliations of G. R. W. Quispel include Clarkson University & Australian National University.
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Involutivity of integrals for sine-Gordon, modified KdV and potential KdV maps
TL;DR: In this article, the authors prove the involutivity of integrals of sine-Gordon, modified Korteweg-de Vries and potential KortEWeg-De Vries maps obtained as so-called $(p, 1)$-traveling wave reductions of the corresponding partial difference equations.
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Numerical integrators that contract volume
TL;DR: In this article, the authors prove a sufficient condition for Runge-Kutta methods to have the appropriate contraction property for these two-dimensional systems; the midpoint rule is an example.
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An integrating factor matrix method to find first integrals
TL;DR: In this article, an integrating factor matrix method was developed to derive conditions for the existence of first integrals for two-and three-dimensional Lotka-Volterra systems with constant terms.
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Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
Elena Celledoni,Charalampos A. Evripidou,Charalampos A. Evripidou,David I. McLaren,Brynjulf Owren,G. R. W. Quispel,Benjamin K. Tapley,P. H. van der Kamp +7 more
TL;DR: In this paper, the authors proposed a method for detecting and calculating preserved measures and integrals of a rational map based on the use of cofactors and Discrete Darboux Polynomials.
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Duality for discrete integrable systems II
TL;DR: In this article, the concept of duality was generalized to lattice equations and a novel 3D lattice equation was derived, which is dual to the lattice AKP equation.