Direct linearising transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations
Wei Fu, Frank Nijhoff
TL;DR
This paper introduces a unified framework using the direct linearising transform to analyze three-dimensional discrete integrable systems, providing new solutions for the lattice CKP equation.
Contribution
It develops a general class of integral transforms for solutions of lattice AKP, BKP, and CKP equations, and derives novel soliton solutions for the lattice CKP equation.
Findings
Established a unified solution framework for 3D discrete integrable systems.
Derived new soliton solutions for the lattice CKP equation.
Connected solution structures via the direct linearising transform.
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 linearising 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.
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