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

Pub Date : 2021-08-06 DOI:10.1007/s11040-021-09401-6

Jiaping Lu, Chao-Zhong Wu

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引用次数: 7

摘要

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。

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

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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