208 citations · 1.4k across the 68 of their papers we have counts for
3 papers · 1 filter
Elliptic solutions of the lattice CKP equation and its elliptic direct linearisation scheme
Ying-ying Sun, Da-jun Zhang, Frank Nijhoff
A direct linearisation scheme, based on an elliptic Cauchy kernel, is set up for the lattice CKP equation. This leads to an elliptic parametrisation of the lattice CKP equation, to…
Discrete integrable principal chiral field model and its involutive reduction
Jan L. Cieśliński, Alexander V. Mikhailov, Maciej Nieszporski +1
We discuss an integrable discretization of the principal chiral field models equations and its involutive reduction. We present a Darboux transformation and general construction of…
The elliptic lattice KdV system revisited
Frank Nijhoff, Cheng Zhang, Da-jun Zhang
In a previous paper [Nijhoff,Puttock,2003], a 2-parameter extension of the lattice potential KdV equation was derived, associated with an elliptic curve. This comprises a rather co…