Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations

Author:

Fu WeiORCID,Nijhoff Frank W.

Abstract

A unified framework is presented for the solution structure of three-dimensional discrete integrable systems, including the lattice AKP, BKP and CKP equations. This is done through the so-called direct linearizing transform, which establishes a general class of integral transforms between solutions. As a particular application, novel soliton-type solutions for the lattice CKP equation are obtained.

Funder

University of Leeds

Engineering and Physical Sciences Research Council

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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1. Lagrangian multiform structure of discrete and semi-discrete KP systems;Open Communications in Nonlinear Mathematical Physics;2024-07-09

2. Lagrangian Grassmannians, CKP Hierarchy and Hyperdeterminantal Relations;Communications in Mathematical Physics;2023-03-09

3. Applications of the Sylvester equation for the lattice BKP system;Teoreticheskaya i Matematicheskaya Fizika;2023-03

4. On the Fourth-Order Lattice Gel'fand-Dikii Equations;Symmetry, Integrability and Geometry: Methods and Applications;2023-02-21

5. Lagrangian 3-form structure for the Darboux system and the KP hierarchy;Letters in Mathematical Physics;2023-02

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