Wave functions and k-point functions for the AKNS hierarchy
Mathematical Physics
2026-01-28 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
For an arbitrary solution to the AKNS hierarchy, the logarithmic derivatives of the tau-function of the solution can be computed by the matrix-resolvent method [14,21]. In this paper, we introduce a pair of wave functions of the solution and we use them to express the corresponding matrix resolvent. Based on this, we derive a new formula for the k-point correlation function of the AKNS hierarchy expressed in terms of wave functions. As an application, we show that the tau-function of an arbitrary solution to the AKNS hierarchy is a KP tau-function.
Keywords
Cite
@article{arxiv.2601.18211,
title = {Wave functions and k-point functions for the AKNS hierarchy},
author = {Ang Fu},
journal= {arXiv preprint arXiv:2601.18211},
year = {2026}
}
Comments
13 pages