The "Ghost" Symmetry of the BKP hierarchy
Exactly Solvable and Integrable Systems
2015-05-18 v1 Mathematical Physics
math.MP
Abstract
In this paper, we systematically develop the "ghost" symmetry of the BKP hierarchy through its actions on the Lax operator , the eigenfunctions and the 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.
Keywords
Cite
@article{arxiv.1003.5987,
title = {The "Ghost" Symmetry of the BKP hierarchy},
author = {Jipeng Cheng and Jingsong He and Sen Hu},
journal= {arXiv preprint arXiv:1003.5987},
year = {2015}
}
Comments
23pages, to appear in Journal of Mathematical Physics