Functional Analysis and Its Applications

, Volume 51, Issue 1, pp 48–65 | Cite as

Triangular reductions of the 2D toda hierarchy

  • A. V. IlinaEmail author
  • I. M. Krichever


New reductions of the 2D Toda equations associated with lower-triangular difference operators are proposed. Their explicit Hamiltonian description is obtained.

Key words

integrable systems bi-Hamiltonian theory Baker–Akhiezer function 


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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Skolkovo Institute of Science and TechnologyMoscowRussia
  2. 2.National Research University Higher School of EconomicsMoscowRussia
  3. 3.Columbia UniversityNew YorkUSA

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