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arXiv · 1911.12727

Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy

Jiaping Lu·Chao-Zhong Wu
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Abstract

An extension of the Kadomtsev-Petviashvili (KP) hierarchy defined via scalar pseudo-differential operators was studied in [16, 20]. 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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Jiaping Lu, Chao-Zhong Wu. 2019-11-28. Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy. https://arxiv.org/abs/1911.12727

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