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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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Showing 2012Show all

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nlin.SI2012★ 12 cited

Integrability of reductions of the discrete KdV and potential KdV equations

A. N. W. Hone, P. H. van der Kamp, G. R. W. Quispel +1

We study the integrability of mappings obtained as reductions of the discrete Korteweg-de Vries (KdV) equation and of two copies of the discrete potential Korteweg-de Vries equatio…

nlin.SI2012★ 8 cited

Discrete Painlevé equations and their Lax pairs as reductions of integrable lattice equations

C. M. Ormerod, Peter H. van der Kamp, G. R. W. Quispel

We present a method of determining a Lax representation for similarity reductions of autonomous and non-autonomous partial difference equations. This method may be used to obtain L…