Tau function of the CKP hierarchy and non-linearizable Virasoro symmetries

2012/08/31 by Liang Chang, Chao-Zhong Wu · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/0951-7715/26/9/2577

published as Nonlinearity 26 (2013) 2577--2596 · 29 pages, published version

arxiv created 2013/08/07 · arxiv updated 2015/06/11

Abstract

We introduce a single tau function that represents the CKP hierarchy into a generalized Hirota "bilinear" equation. The actions on the tau function by additional symmetries for the hierarchy are calculated, which involve strictly more than a central extension of the w^C_∞-algebra. As an application, for Drinfeld-Sokolov hierarchies of type C that are equivalent to certain reductions of the CKP hierarchy, their Virasoro symmetries are proved to be non-linearizable when acting on the tau function.

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• The tau functions of the constrained CKP hierarchy

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