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arXiv · 1907.04689

A strongly coupled extended Toda hierarchy and its Virasoro symmetry

Chuanzhong Li
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Abstract

As a generalization of the integrable extended Toda hierarchy and a reduction of the extended multicomponent Toda hierarchy, from the point of a commutative subalgebra of $gl(2,\mathbb{C})$, we construct a strongly coupled extended Toda hierarchy(SCETH) which will be proved to possess a Virasoro type additional symmetry by acting on its tau-function. Further we give the multi-fold Darboux transformations of the strongly coupled extended Toda hierarchy.

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Chuanzhong Li. 2019-07-09. A strongly coupled extended Toda hierarchy and its Virasoro symmetry. https://doi.org/10.1007/s11040-019-9315-7

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