Bilinear Equation and Additional Symmetries for an Extension of the Kadomtsev–Petviashvili Hierarchy

IF 0.9 3区数学 Q3 MATHEMATICS, APPLIED

Mathematical Physics, Analysis and Geometry Pub Date : 2021-08-06 DOI:10.1007/s11040-021-09401-6

Jiaping Lu, Chao-Zhong Wu

引用次数: 7

Abstract

An extension of the Kadomtsev–Petviashvili (KP) hierarchy defined via scalar pseudo-differential operators was studied in Szablikowski and Blaszak (J. Math. Phys. 49(8), 082701, 20, 2008) and Wu and Zhou (J. Geom. Phys. 106, 327–341, 2016). In this paper, we represent the extended KP hierarchy into the form of bilinear equation of (adjoint) Baker–Akhiezer functions, and construct its additional symmetries. As a byproduct, we derive the Virasoro symmetries for the constrained KP hierarchies.

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Kadomtsev-Petviashvili层次扩展的双线性方程和附加对称性

在Szablikowski和Blaszak (J. Math)中研究了由标量伪微分算子定义的Kadomtsev-Petviashvili (KP)层次的扩展。物理学49(8)，082701,20,2008);物理学报，106,327-341,2016)。本文将扩展的KP层次表示为双线性(伴随)Baker-Akhiezer函数方程的形式，并构造了它的附加对称性。作为一个副产品，我们导出了约束KP层次的Virasoro对称性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Physics, Analysis and Geometry 数学-物理：数学物理

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

>12 weeks

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