Abstract
We introduce the notion of abelian solutions of the 2D Toda lattice equations and the bilinear discrete Hirota equation, and show that all of them are algebro-geometric.
This research is supported in part by the National Science Foundation under the grant DMS-04-05519 (I.K.) and by the Japanese Ministry of Education, Culture, Sports, Science and Technology under the Grant-in-Aid for Scientific Research (S) 18104001 (T.S.).
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Krichever, I., Shiota, T. (2010). Abelian Solutions of the Soliton Equations and Geometry of Abelian Varieties. In: Alonso, M.E., Arrondo, E., Mallavibarrena, R., Sols, I. (eds) Liaison, Schottky Problem and Invariant Theory. Progress in Mathematics, vol 280. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0201-3_11
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