Non-linear evolution equations and hyperelliptic covers of elliptic curves
Algebraic Geometry
2015-05-18 v1 Analysis of PDEs
Abstract
We study the general properties of spectral curves associated to doubly-periodic solutions of Korteweg-deVries, sine-Gordon, Non-linear Schr\"odinger and 1D Toda equations, and construct examples of arbitrary genus.
Cite
@article{arxiv.1003.0438,
title = {Non-linear evolution equations and hyperelliptic covers of elliptic curves},
author = {Armando Treibich},
journal= {arXiv preprint arXiv:1003.0438},
year = {2015}
}