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Additional Symmetries and String Equation of the CKP Hierarchy
Authors:Jingsong He  Kelei Tian  Angela Foerster  Wen-Xiu Ma
Affiliation: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
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+∞.
Keywords:02.30.Ik
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