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<p>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 <i>N</i>-soliton solution of DAKP, using Miwa’s parametrisation of the AKP and BKP soliton solutions.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月6日

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

摘要

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.