Geodesic
Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 1, pp. 3-22

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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. 
@article{TMF_2021_207_1_a0,
     author = {Chuanzhong Li},
     title = {Multicomponent fractional {Volterra} hierarchy and its subhierarchy with {Virasoro} symmetry},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--22},
     publisher = {mathdoc},
     volume = {207},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_207_1_a0/}
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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/