53 citations · 187 across the 29 of their papers we have counts for
3 papers · 1 filter
Involutivity of integrals for sine-Gordon, modified KdV and potential KdV maps
Dinh T. Tran, P. H. van der Kamp, G. R. W. Quispel
Closed form expressions in terms of multi-sums of products have been given in \cite{Tranclosedform, KRQ} of integrals of sine-Gordon, modified Korteweg-de Vries and potential Korte…
The staircase method: integrals for periodic reductions of integrable lattice equations
Peter H. van der Kamp, G. R. W. Quispel
We show, in full generality, that the staircase method provides integrals for mappings, and correspondences, obtained as traveling wave reductions of (systems of) integrable partia…
An integrating factor matrix method to find first integrals
K. V. I. Saputra, G. R. W. Quispel, L. van Veen
In this paper we developed an integrating factor matrix method to derive conditions for the existence of first integrals. We use this novel method to obtain first integrals, along…