论文标题
在非自主差分差异AKP上，BKP和CKP方程
On nonautonomous differential-difference AKP, BKP and CKP equations
论文作者
论文摘要
基于[proc。 R. Soc。 A，473（2017）20160915]，建立了六个新型的非自主差分差异方程，其中包括AKP类中的三个，在BKP类中有两个，一个在CKP类中。特别是，BKP类中的一个，CKP类中的一个均以（2+2）的二维形式为单位。所有六个模型都具有与其相同的线性积分方程表示的意义，其与其相关的离散Kadomtsev-PetViashvili-Type方程式相同，从直接线性化的角度来看，这些新方程确保了这些新方程的多维一致性。
Based on the direct linearisation framework of the discrete Kadomtsev-Petviashvili-type equations presented in [Proc. R. Soc. A, 473 (2017) 20160915], six novel nonautonomous differential-difference equations are established, including three in the AKP class, two in the BKP class and one in the CKP class. In particular, one in the BKP class and the one in the CKP class are both in (2+2)-dimensional form. All the six models are integrable in the sense of having the same linear integral equation representations as those of their associated discrete Kadomtsev-Petviashvili-type equations, which guarantees the existence of soliton-type solutions and the multi-dimensional consistency of these new equations from the viewpoint of the direct linearisation.
