Tau Functions of (n,1) curves and Soliton Solutions on Non-Zero Constant Backgrounds
Exactly Solvable and Integrable Systems
2021-07-14 v1 Mathematical Physics
Algebraic Geometry
math.MP
Quantum Algebra
Abstract
We study the tau function of the KP-hierarchy associated with an (n,1) curve . If the corresponding tau function is 1. On the other hand if the tau function becomes the exponential of a quadratic function of the time variables. By applying vertex opertaors to the latter we obtain soliton solutions on non-zero constant backgrounds.
Cite
@article{arxiv.2011.10691,
title = {Tau Functions of (n,1) curves and Soliton Solutions on Non-Zero Constant Backgrounds},
author = {Atsushi Nakayashiki},
journal= {arXiv preprint arXiv:2011.10691},
year = {2021}
}
Comments
27 pages, no figure