VIRASORO SYMMETRY OF THE CONSTRAINED MULTICOMPONENT KADOMTSEV-PETVIASHVILI HIERARCHY AND ITS INTEGRABLE DISCRETIZATION

被引：6
|
作者：
Li, Chuanzhong [1 ]
He, Jingsong [1 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo, Peoples R China
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2016年 / 187卷 / 03期
基金：
中国国家自然科学基金;
关键词：
constrained multicomponent KP hierarchy; discrete constrained multicomponent KP hierarchy; Virasoro symmetry; ADDITIONAL SYMMETRIES; STRING EQUATION; KP HIERARCHY; REDUCTION;
D O I：
10.1134/S0040577916060064
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct Virasoro-type additional symmetries of a kind of constrained multicomponent Kadomtsev-Petviashvili (KP) hierarchy and obtain the Virasoro flow equation for the eigenfunctions and adjoint eigenfunctions. We show that the algebraic structure of the Virasoro symmetry is retained under discretization from the constrained multicomponent KP hierarchy to the discrete constrained multicomponent KP hierarchy.
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页码：871 / 887
页数：17
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