Additional Symmetry of CKP hierarchy

Details Additional Symmetry of CKP hierarchy Additional Symmetry of CKP hierarchy

2007-07-03

arxiv.org/abs/0707.0494v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

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 $W^C_{1+\infty}$, which is a subalgebra of $W_{1+\infty}$.

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