Geodesic
Triangular Reductions of the $2D$ Toda Hierarchy
Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 1, pp. 60-81

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New reductions of the 2D Toda equations associated with lower-triangular difference operators are proposed. Their explicit Hamiltonian description is obtained.
Keywords: integrable systems, bi-Hamiltonian theory, Baker–Akhiezer function. 
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     author = {A. V. Il'ina and I. M. Krichever},
     title = {Triangular {Reductions} of the $2D$ {Toda} {Hierarchy}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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A. V. Il'ina; I. M. Krichever. Triangular Reductions of the $2D$ Toda Hierarchy. Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 1, pp. 60-81. http://geodesic.mathdoc.fr/item/FAA_2017_51_1_a4/