非线性薛定谔方程族τ-函数的矩阵预解式方法
The matrix-resolvent method to tau-functions for the nonlinear Schrödinger hierarchy
摘要：
本文将计算τ函数对数导数的矩阵预解式方法推广到非线性薛定谔方程组。在此基础上，我们给出了Carlet，Dubrovin和Zhang关于Toda格族与NLS格族之间关系的一个定理的详细证明。作为应用，我们给出了一种改进的计算厄米矩阵模型中矩阵元的算法。
英文摘要：
We extend the matrix-resolvent method of computing logarithmic derivatives of tau-functions to the nonlinear Schrödinger (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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
