Periodic and rapid decay rank two self-adjoint commuting differential operators
Mathematical Physics
2013-02-26 v1 math.MP
Abstract
Self-adjoint rank two commuting ordinary differential operators are studied in this paper. Such operators with trigonometric, elliptic and rapid decay coefficients corresponding to hyperelliptic spectral curves are constructed. Some problems related to the Lame operator and rank two solutions of soliton equations are discussed.
Cite
@article{arxiv.1302.5735,
title = {Periodic and rapid decay rank two self-adjoint commuting differential operators},
author = {Andrey E. Mironov},
journal= {arXiv preprint arXiv:1302.5735},
year = {2013}
}
Comments
19 pages, 12 figures