Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function

Yuji KodamaShigeki MatsutaniEmma Previato — 2013

Annales de l’institut Fourier

A lattice model with exponential interaction, was proposed and integrated by M. Toda in the 1960s; it was then extensively studied as one of the completely integrable (differential-difference) equations by algebro-geometric methods, which produced both quasi-periodic solutions in terms of theta functions of hyperelliptic curves and periodic solutions defined on suitable Jacobians by the Lax-pair method. In this work, we revisit Toda’s original approach to give solutions of the Toda lattice in terms...

Page 1

Download Results (CSV)