Asymptotics of a Class of Solutions to the Cylindrical Toda Equations
Skip to main content
eScholarship
Open Access Publications from the University of California

Department of Mathematics

Faculty bannerUC Davis

Asymptotics of a Class of Solutions to the Cylindrical Toda Equations

Published Web Location

https://arxiv.org/pdf/solv-int/9701003.pdf
No data is associated with this publication.
Abstract

The small t asymptotics of a class of solutions to the 2D cylindrical Toda equations is computed. The solutions, q_k(t), have the representation q_k(t) = log det(I-lambda K_k) - log det(I-lambda K_{k-1}) where K_k are integral operators. This class includes the n-periodic cylindrical Toda equations. For n=2 our results reduce to the previously computed asymptotics of the 2D radial sinh-Gordon equation and for n=3 (and with an additional symmetry contraint) they reduce to earlier results for the radial Bullough-Dodd equation.

Item not freely available? Link broken?
Report a problem accessing this item