A Tropical Analogue of Fay’s Trisecant Identity and the Ultra-Discrete Periodic Toda Lattice

Author:

Inoue Rei,Takenawa Tomoyuki

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference17 articles.

1. Fay, J.D.: Theta Functions on Riemann Surfaces. Lecture notes in Math. 352, Berlin-New York: Springer-Verlag, 1973

2. Hirota R.: Discrete analogue of a generalized Toda equation. J. Phys. Soc. Japan 50(11), 3785–3791 (1981)

3. Hirota, R., Tsujimoto, S., Imai, T.: Difference scheme of soliton equations. In: Future directions of nonlinear dynamics in physical and biological systems, Christiansen, P.L., Eilbeck, J.C., Parmentier, R.D. (eds.) New York: Plenum Press, 1993; R. Hirota, S. Tsujimoto: Conserved quantities of a class of nonlinear difference-difference equations. J. Phys. Soc. Japan 64(9), 3125–3127 (1995)

4. Inoue, R., Takenawa, T.: Tropical spectral curves and integrable cellular automata. Int. Math. Res. Not., Vol. 2008, rnn019, 27 pp (2008)

5. Inoue, R., Takenawa, T.: Tropical Jacobian and the generic fiber of the ultra-discrete periodic Toda lattice are isomorphic. http://arXiv.org/abs/0902.0448v1[nlin.SI] , 2009

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