Additional Symmetries and String Equation of the CKP Hierarchy |
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| Authors: | Jingsong He Kelei Tian Angela Foerster Wen-Xiu Ma |
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| Institution: | 1.Department of Mathematics,USTC,Hefei,People’s Republic of China;2.Instituto de Física da UFRGS,Porto Alegre,Brazil;3.Department of Mathematics,University of South Florida,Tampa,USA |
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| 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  , which is a subalgebra of W
1+∞.
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| Keywords: | 02 30 Ik |
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