Additional Symmetry of CKP hierarchy

Abstract

Based on the Orlov and Shulman's M operator, the additional symmetries and the string equation of the CKP hierarchy are established, and then the higher order constraints on $L^l$ are obtained. In addition, the generating function and some properties are also given. In particular, the additional symmetry flows form a new infinite dimensional algebra $W_{1+\infty }^C$, which is a subalgebra of $W_{1+\infty }$.

13pages, LaTex, to appear in Lett.Math.Phys

References in corpus (4)

• On additional symmetries of the KP hierarchy and Sato's Bäcklund transformation
• On the BKP hierarchy: additional symmetries, Fay identity and Adler-Shiota-van Moerbeke formula
• Additional symmetries of KP, Grassmannian, and the string equation
• The $n$--TH Reduced BKP Hierarchy, the String Equation and $B{W}_{1+\infty }$--Constraints