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Elliptic families of solutions of the constrained Toda hierarchy

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Abstract

We study elliptic families of solutions of the recently introduced constrained Toda hierarchy, i.e., solutions that are elliptic functions of some linear combination of the hierarchical times. Equations of motion for poles of such solutions are obtained.

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Funding

This work has been funded within the framework of the HSE University Basic Research Program.

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Authors and Affiliations

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

    A. V. Zabrodin

  2. National Research University “Higher School of Economics”, Moscow, Russia

    A. V. Zabrodin

  3. Alikhanov Institute for Theoretical and Experimental Physics, National Research Center “Kurchatov Institute”, Moscow, Russia

    A. V. Zabrodin

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

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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2022, Vol. 213, pp. 57–64 https://doi.org/10.4213/tmf10260.

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Zabrodin, A.V. Elliptic families of solutions of the constrained Toda hierarchy. Theor Math Phys 213, 1362–1368 (2022). https://doi.org/10.1134/S0040577922100051

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