论文信息 - Discrete curves in CP1 and the Toda lattice

Discrete curves in CP1 and the Toda lattice

In this paper we investigate flows on discrete curves in $\C^2$, $\CP^1$, and $\C$. A novel interpretation of the one dimensional Toda lattice hierarchy and reductions thereof as flows on discrete curves will be given.

Tim Hoffmann | N. Kutz

[1] Y. Suris. The Problem of Integrable Discretization: Hamiltonian Approach , 2003 .

[2] A. Bobenko,et al. Discrete Time Lagrangian Mechanics on Lie Groups,¶with an Application to the Lagrange Top , 1999 .

[3] F. Pedit,et al. Periodic discrete conformal maps , 1999, math/9905112.

[4] Leon A. Takhtajan,et al. Hamiltonian methods in the theory of solitons , 1987 .

[5] Morikazu Toda,et al. Theory Of Nonlinear Lattices , 1981 .

[6] B. Kostant,et al. The solution to a generalized Toda lattice and representation theory , 1979 .

[7] H. Flaschka. On the Toda Lattice. II Inverse-Scattering Solution , 1974 .