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Tau-function of the B-Toda hierarchy

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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.

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Funding

This work was supported by the Russian Science Foundation under grant No. 19-11-00062, https://rscf.ru/en/project/19-11-00062/.

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Authors and Affiliations

  1. Skolkovo Institute of Science and Technology, Moscow, Russia

    V. V. Prokofev & A. V. Zabrodin

  2. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

    V. V. Prokofev & A. V. Zabrodin

Authors
  1. V. V. Prokofev
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  2. A. V. Zabrodin
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Correspondence to A. V. Zabrodin.

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The authors declare no conflicts of interest.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2023, Vol. 217, pp. 299–316 https://doi.org/10.4213/tmf10518.

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Prokofev, V.V., Zabrodin, A.V. Tau-function of the B-Toda hierarchy. Theor Math Phys 217, 1673–1688 (2023). https://doi.org/10.1134/S0040577923110041

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  • DOI: https://doi.org/10.1134/S0040577923110041

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