Quasi-periodic solutions of the universal hierarchy
Exactly Solvable and Integrable Systems
2023-08-24 v1 Mathematical Physics
math.MP
Abstract
We construct quasi-periodic solutions of the universal hierarchy which includes the multi-component KP and Toda hierarchies and show how they fit into the bilinear formalism. The tau-function is expressed in terms of the Riemann theta-function multiplied by exponential function of a quadratic form in the hierarchical times.
Keywords
Cite
@article{arxiv.2308.12187,
title = {Quasi-periodic solutions of the universal hierarchy},
author = {I. Krichever and A. Zabrodin},
journal= {arXiv preprint arXiv:2308.12187},
year = {2023}
}
Comments
21 pages, no figures. arXiv admin note: text overlap with arXiv:2304.05108