A Remark on the Affine Coordinates for KdV Tau-Functions

FU Zhi-peng

doi:10.13371/j.cnki.chin.q.j.m.2024.03.010

Chinese Quarterly Journal of Mathematics >

2024 , Vol. 39 >Issue 3: 324 - 330

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2024.03.010

A Remark on the Affine Coordinates for KdV Tau-Functions

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University of Science and Technology of China, Hefei 230026, China

FU Zhi-peng (1998-), male, native of Qixian, Henan, staff of University of Science and Technology of China.

Received date: 2023-04-17

Online published: 2024-09-30

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Abstract

We give a proof of an explicit formula for affine coodinates of points in the Sato’s infinite Grassmannian corresponding to tau-functions for the KdV hierarchy.

Key words： Sato’s infinite Grassmannian; KdV hierarchy; Affine coordinates

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FU Zhi-peng . A Remark on the Affine Coordinates for KdV Tau-Functions[J]. Chinese Quarterly Journal of Mathematics, 2024 , 39(3) : 324 -330 . DOI: 10.13371/j.cnki.chin.q.j.m.2024.03.010

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