Triangular reductions of the 2D toda hierarchy
- 37 Downloads
New reductions of the 2D Toda equations associated with lower-triangular difference operators are proposed. Their explicit Hamiltonian description is obtained.
Key wordsintegrable systems bi-Hamiltonian theory Baker–Akhiezer function
Unable to display preview. Download preview PDF.
- I. M. Krichever, “The periodic non-Abelian Toda lattice and its two-dimensional generalization, Appendix to: B. A. Dubrovin, “Theta functions and non-linear equations,” UspekhiMat. Nauk, 36:2) (1981), 72–77; English transl.: Russian Math. Surveys, 36:2 (1981), 82–89.Google Scholar
- I. M. Krichever, “Elliptic solutions to difference nonlinear equations and nested Bethe ansatz equations,” in: Calogero–Moser–Sutherland models (Monréal, QC, 1997), CRM Ser. Math. Phys, Springer-Verlag, New-York, 2000, 249–271; https://arxiv.org/abs/ solv-int/9804016.Google Scholar
- I. Krichever and T. Shiota, “Soliton equations and the Riemann–Schottky problem,” in: Advanced Lectures Math., vol. 25, Handbook of Moduli, v. II, International Press, Boston, 2013.Google Scholar
- S. Morier-Genoud, V. Ovsienko, R. E. Schwartz, and S. Tabachnikov, “Linear difference equations, frieze patterns and combinatorial Gale transform,” Forum Math. Sigma, 2 (2014); https://arxiv.org/abs/1309.3880.Google Scholar
© Springer Science+Business Media New York 2017