1211.6958 (A. N. W. Hone et al.)

Integrability of reductions of the discrete KdV and potential KdV
equations    [PDF]

A. N. W. Hone, P. H. van der Kamp, G. R. W. Quispel, D. T. Tran

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 equation (pKdV). We show that the mappings corresponding to the discrete KdV equation, which can be derived from the latter, are completely integrable in the Liouville-Arnold sense. The mappings associated with two copies of the pKdV equation are also shown to be integrable.

View original: http://arxiv.org/abs/1211.6958