This article is cited in 6 papers

Virasoro symmetry of the constrained multicomponent Kadomtsev–Petviashvili hierarchy and its integrable discretization

Chuanzhong Li, Jingsong He

Department of Mathematics, Ningbo University, Ningbo, China

Abstract: 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.

Keywords: constrained multicomponent KP hierarchy, discrete constrained multicomponent KP hierarchy, Virasoro symmetry.

MSC: 37K05, 37K10, 37K40

Received: 28.07.2015

DOI: 10.4213/tmf9016

 English version: Theoretical and Mathematical Physics, 2016, 187:3, 871–887

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