467 citations · 2k across the 86 of their papers we have counts for
Showing 2002Show all
3 papers · 1 filter
nlin.SI2002★ 2 cited
Integrable systems whose spectral curve is the graph of a function
Kanehisa Takasaki
For some integrable systems, such as the open Toda molecule, the spectral curve of the Lax representation becomes the graph of a function . Thos…
nlin.SI2002★ 22 cited
Spectral curve, Darboux coordinates and Hamiltonian structure of periodic dressing chains
Kanehisa Takasaki
A chain of one-dimensional Schrödinger operators connected by successive Darboux transformations is called the ``Darboux chain'' or ``dressing chain''. The periodic dressing chain…
nlin.SI2002★ 3 cited
An integrable system on the moduli space of rational functions and its variants
Kanehisa Takasaki, Takashi Takebe
We study several integrable Hamiltonian systems on the moduli spaces of meromorphic functions on Riemann surfaces (the Riemann sphere, a cylinder and a torus). The action-angle var…