On the relation between the dual AKP equation and an equation by King and Schief, and its N-soliton solution

Peter H. van der Kamp; Da-jun Zhang; G. R. W. Quispel

paper

On the relation between the dual AKP equation and an equation by King and Schief, and its N-soliton solution

arXiv:1912.02299

Abstract

The Dual of the lattice AKP (DAKP) equation [P.H. van der Kamp et al., J. Phys. A 51, 365202 (2018)] is equivalent to a 14-point equation related to the lattice BKP equation, found by King and Schief (KS), and hence it is integrable. We show that the KS equation is dual to Hirota's version of AKP (DAGTE), and we settle the conjectured $N$ -soliton solution of DAKP, for all values of the parameters.

7 pages, 3 figures, in V2 we show the KS equation is dual to DAGTE