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arXiv · 2606.23167

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy

Haonan Qu·Qiulan Zhao
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Abstract

We derive a local bihamiltonian structure for the rational reduction of the 2D-Toda hierarchy (RR2T) of $(n,1)$-type by direct computations, and construct an $(n+1)$-dimensional semisimple generalized Frobenius manifold with non-flat unity whose Principal Hierarchy contains its dispersionless flows.

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Haonan Qu, Qiulan Zhao. 2026-06-22. Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy. https://arxiv.org/abs/2606.23167

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