A. V. Zabrodin, V. V. Prokofev, “Tau-function of the B-Toda hierarchy”, TMF, 2023, Volume 217, Number 2,Pages <nobr>299

Tau-function of the B-Toda hierarchy

A. V. Zabrodin^ab, V. V. Prokofev^ab

^a Skolkovo Institute of Science and Technology, Moscow, Russia
^b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: We continue the study of the B-Toda hierarchy (the Toda lattice with the constraint of type B), which can be regarded as a discretization of the BKP hierarchy. We introduce the tau function of the B-Toda hierarchy and obtain bilinear equations for it. Examples of soliton tau functions are presented in explicit form.

Keywords: Toda lattice, tau function, soliton solutions.

Received: 12.04.2023
Revised: 12.04.2023

DOI: 10.4213/tmf10518