On the Relation Between the Dual AKP Equation and an Equation by King and Schief, and its N-soliton Solution

Mathematical Physics Analysis and Geometry 2026 Open access

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Authors: Peter H. van der Kamp, Da‐jun Zhang, Gilles Quispel
DOI: 10.1007/s11040-026-09574-y
Cited by: 3
References: 8

Abstract

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, and we verify the conjectured N -soliton solution of DAKP, using Miwa’s parametrisation of the AKP and BKP soliton solutions.

Fields of Study & Subjects

Nonlinear Waves and Solitons Algebraic structures and combinatorial models Advanced Topics in Algebra

Publication details

Journal / source
Mathematical Physics Analysis and Geometry
Publisher
Springer Science and Business Media LLC
Volume
29
Issue
3
Publication date
6 July 2026
Language
EN