Geodesic
Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 1, pp. 3-22 Cet article a éte moissonné depuis la source Math-Net.Ru

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Using the Hamiltonian structures and tau symmetries, we construct a multicomponent fractional Volterra hierarchy (MFVH) as an example of a generalized integrable system. We study the Hirota bilinear equation and the Virasoro symmetry for this hierarchy. As a reduction of the MFVH from a commutative subalgebra, we construct the fractional $Z_N$-Volterra hierarchy and its Virasoro symmetry.
Keywords: multicomponent fractional Volterra hierarchy, fractional $Z_N$-Volterra hierarchy, additional symmetry, Virasoro Lie algebra. 
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Chuanzhong Li. Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 1, pp. 3-22. http://geodesic.mathdoc.fr/item/TMF_2021_207_1_a0/

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