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arXiv · 0707.0494

Additional Symmetry of CKP hierarchy

Jingsong He·Kelei Tian·Angela Foerster·Wen-xiu Ma
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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 $W^C_{1+\infty}$, which is a subalgebra of $W_{1+\infty}$.

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Jingsong He, Kelei Tian, Angela Foerster, Wen-xiu Ma. 2007-07-03. Additional Symmetry of CKP hierarchy. https://arxiv.org/abs/0707.0494

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