Direct linearising transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations
arXiv:1612.04711 · doi:10.1098/rspa.2016.0915
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.
21 pages, 3 figures