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 \(W^C_{1+\infty}\), which is a subalgebra of W 1+∞.
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He, J., Tian, K., Foerster, A. et al. Additional Symmetries and String Equation of the CKP Hierarchy. Lett Math Phys 81, 119–134 (2007). https://doi.org/10.1007/s11005-007-0171-1
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DOI: https://doi.org/10.1007/s11005-007-0171-1