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arXiv · 1003.5987

The "Ghost" Symmetry of the BKP hierarchy

Jipeng Cheng·Jingsong He·Sen Hu
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Abstract

In this paper, we systematically develop the "ghost" symmetry of the BKP hierarchy through its actions on the Lax operator $L$, the eigenfunctions and the $τ$ function. In this process, the spectral representation of the eigenfunctions and a new potential are introduced by using squared eigenfunction potential(SEP) of the BKP hierarchy. Moreover, the bilinear identity of the constrained BKP hierarchy and Adler-Shiota-van-Moerbeke formula of the BKP hierarchy are re-derived compactly by means of the spectral representation and "ghost" symmetry.

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Jipeng Cheng, Jingsong He, Sen Hu. 2010-03-31. The "Ghost" Symmetry of the BKP hierarchy. https://doi.org/10.1063/1.3397943

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