372 citations · 1.8k across the 59 of their papers we have counts for
10 papers · 1 filter
On a coupled Kadomtsev--Petviashvili system associated with an elliptic curve
Wei Fu, Frank W. Nijhoff
The coupled Kadomtsev--Petviashvili system associated with an elliptic curve, proposed by Date, Jimbo and Miwa [J. Phys. Soc. Jpn., 52:766--771, 1983], is reinvestigated within the…
On nonautonomous differential-difference AKP, BKP and CKP equations
Wei Fu, Frank W. Nijhoff
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 diffe…
Direct linearisation approach to discrete integrable systems associated with graded Lax pairs
Wei Fu
Fordy and Xenitidis [J. Phys. A: Math. Theor. 50 (2017) 165205] recently proposed a large class of discrete integrable systems which include a number of novel integrable difference…
Direct linearisation of the discrete-time two-dimensional Toda lattices
Wei Fu
The discrete-time two-dimensional Toda lattice of -type is studied within the direct linearisation framework, which allows us to deal with several nonlinear equations in…
On reductions of the discrete Kadomtsev--Petviashvili-type equations
Wei Fu, Frank Nijhoff
The reduction by restricting the spectral parameters and on a generic algebraic curve of degree is performed for the discrete AKP, BKP and CKP equations, res…
Linear integral equations, infinite matrices, and soliton hierarchies
Wei Fu, Frank W. Nijhoff
A systematic framework is presented for the construction of hierarchies of soliton equations. This is realised by considering scalar linear integral equations and their representat…