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Additional symmetries of constrained CKP and BKP hierarchies

Authors :
Tian, Kelei
He, Jingsong
Cheng, Jipeng
Cheng, Yi
Publication Year :
2010

Abstract

The additional symmetries of the constrained CKP (cCKP) and BKP (cBKP) hierarchies are given by their actions on the Lax operators, and their actions on the eigenfunction and adjoint eigenfunction $\{\Phi_i,\Psi_i \}$ are presented explicitly. Furthermore, we show that acting on the space of the wave operator, $\partial_k^*$ forms new centerless $W^{cC}_{1+\infty}$ and $W^{cB}_{1+\infty}$-subalgebra of centerless $W_{1+\infty}$ respectively. In order to define above symmetry flows $\partial_k^*$ of the cCKP and cBKP hierarchies, two vital operators $Y_k$ are introduced to revise the additional symmetry flows of the CKP and BKP hierarchies.<br />Comment: 14 pages, accepted by SCIENCE CHINA Mathematics(2010)

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1007.2701
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/s11425-010-4076-6