Fu Wei, Nijhoff Frank W
School of Mathematics, University of Leeds, Leeds LS2 9JT, UK.
Proc Math Phys Eng Sci. 2017 Jul;473(2203):20160915. doi: 10.1098/rspa.2016.0915. Epub 2017 Jul 12.
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.
本文提出了一个用于求解三维离散可积系统（包括格点AKP、BKP和CKP方程）解结构的统一框架。这是通过所谓的直接线性化变换来实现的，该变换在解之间建立了一类通用的积分变换。作为一个具体应用，得到了格点CKP方程的新型孤子型解。
