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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2022 Volume 213, Number 1, Pages 57–64 (Mi tmf10260)

This article is cited in 3 papers

Elliptic families of solutions of the constrained Toda hierarchy

A. V. Zabrodinabc

a Skolkovo Institute of Science and Technology, Moscow, Russia
b National Research University "Higher School of Economics", Moscow, Russia
c Alikhanov Institute for Theoretical and Experimental Physics, National Research Center  Kurchatov Institute,  Moscow, Russia

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.

Keywords: constrained Toda hierarchy, elliptic solutions.

Received: 25.01.2022
Revised: 25.01.2022

DOI: 10.4213/tmf10260


 English version:
Theoretical and Mathematical Physics, 2022, 213:1, 1362–1368

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© Steklov Math. Inst. of RAS, 2025