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arXiv · 2009.01143

Super tau-covers of bihamiltonian integrable hierarchies

Si-Qi Liu·Zhe Wang·Youjin Zhang
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Abstract

We consider a certain super extension, called the super tau-cover, of a bihamiltonian integrable hierarchy which contains the Hamiltonian structures including both the local and non-local ones as odd flows. In particular, we construct the super tau-cover of the principal hierarchy associated with an arbitrary Frobenius manifold, and the super tau-cover of the Korteweg-de Vries (KdV) hierarchy. We also show that the Virasoro symmetries of these bihamiltonan integrable hierarchies can be extended to symmetries of the associated super tau-covers.

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BibTeXRIS

Si-Qi Liu, Zhe Wang, Youjin Zhang. 2020-09-02. Super tau-covers of bihamiltonian integrable hierarchies. https://doi.org/10.1016/j.geomphys.2021.104351

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