Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A strongly coupled extended Toda hierarchy and its Virasoro symmetry   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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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat