G. F. Helminck, V. A. Poberezhny, S. V. Polenkova, “Extensions of the discrete KP hierarchy and its strict version”, TMF, 2020, Volume 204, Number 3,Pages <nobr>367

Extensions of the discrete KP hierarchy and its strict version

G. F. Helminck^a, V. A. Poberezhny^bcd, S. V. Polenkova^e

^a Korteweg-de Vries Institute, University of Amsterdam, The Netherlands
^b National Research University "Higher School of Economics", Moscow, Russia
^c Institute for Theoretical and Experimental Physics, Moscow, Russia
^d Center for Advanced Studies, Skolkovo Institute of Science and Technology, Moscow, Russia
^e University of Twente, Enschede, The Netherlands

Abstract: We show that both the dKP hierarchy and its strict version can be extended to a wider class of deformations satisfying a larger set of Lax equations. We prove that both extended hierarchies have appropriate linearizations allowing a geometric construction of their solutions.

Keywords: pseudodifference operator, hierarchy, linearization, oscillating matrix, wave matrix, geometric construction of solutions.

Received: 01.03.2020
Revised: 01.03.2020

DOI: 10.4213/tmf9933