The matrix-resolvent method to tau-functions for the nonlinear Schr\"odinger hierarchy
Exactly Solvable and Integrable Systems
2022-01-27 v1 Mathematical Physics
math.MP
Abstract
We extend the matrix-resolvent method of computing logarithmic derivatives of tau-functions to the nonlinear Schr\"odinger (NLS) hierarchy. Based on this method we give a detailed proof of a theorem of Carlet, Dubrovin and Zhang regarding the relationship between the Toda lattice hierarchy and the NLS hierarchy. As an application, we give an improvement of an algorithm of computing correlators in hermitian matrix models.
Keywords
Cite
@article{arxiv.2201.11020,
title = {The matrix-resolvent method to tau-functions for the nonlinear Schr\"odinger hierarchy},
author = {Ang Fu and Di Yang},
journal= {arXiv preprint arXiv:2201.11020},
year = {2022}
}
Comments
20 pages, 1 figure