The matrix-resolvent method to tau-functions for the nonlinear Schrodinger hierarchy

被引：7
|
作者：
Fu, Ang [1 ]
Yang, Di [1 ]
机构：
[1] USTC, Sch Math Sci, Hefei 230026, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 179卷
关键词：
NLS hierarchy; matrix resolvent; tau-function; Toda lattice hierarchy; Carlet-Dubrovin-Zhang theorem; NON-LINEAR EQUATIONS; TODA; CONSTRAINTS; INVARIANTS; SYMMETRIES; INTEGRALS; MODEL;
D O I：
10.1016/j.geomphys.2022.104592
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the matrix-resolvent method of computing logarithmic derivatives of tau functions to the nonlinear Schrodinger (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.(C) 2022 Elsevier B.V. All rights reserved.
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页数：17
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