Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation ?

Abstract

We identify a periodic reduction of the non-autonomous lattice potential Korteweg–de Vries equation with the additive discrete Painlevé equation with E (1) 6 symmetry. We present a description of a set of symmetries of the reduced equations and their relations to the symmetries of the discrete Painlevé equation. Finally, we exploit the simple symmetric form… (More)

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