G. F. Helminck, V. A. Poberezhny, S. V. Polenkova, “Darboux transformations for the discrete versions of the KP and strict KP hierarchies”, TMF, 2024, Volume 221, Number 3,Pages <nobr>503

Darboux transformations for the discrete versions of the KP and strict KP hierarchies

G. F. Helminck^a, V. A. Poberezhny^b, S. V. Polenkova^c

^a Korteweg–de Vries Institute for Mathematics, University of Amsterdam, Amsterdam, The Netherlands
^b National Research University "Higher School of Economics", Moscow, Russia
^c University of Twente, Enschede, The Netherlands

Abstract: We introduce the notion of Darboux transformations for the discrete KP hierarchy and its strict version, and present an explicit form of these transformations for the solutions of discrete KP and discrete strict KP hierarchies constructed in our previous work.

Keywords: pseudodifference operators, Lax equations, discrete (strict) KP hierarchy, oscillating matrices, Darboux transformations.

Received: 27.09.2024
Revised: 27.09.2024

DOI: 10.4213/tmf10833