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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 207, Number 1, Pages 3–22
DOI: https://doi.org/10.4213/tmf10010 (Mi tmf10010) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry

Chuanzhong Li

School of Mathematics and Statistics, Ningbo University, Ningbo, Zhejiang, China
Full-text PDF (508 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf10010
Abstract: 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.
Funding agency Grant number
National Natural Science Foundation of China 12071237
K. C. Wong Magna Fund (Ningbo University)
The research of Chuanzhong Li is supported by the National Natural Science Foundation of China (Grant No. 12071237) and the K. C. Wong Magna Fund in Ningbo University.
Received: 20.11.2020
Revised: 26.12.2020
English version:
Theoretical and Mathematical Physics, 2021, Volume 207, Issue 1, Pages 397–414
DOI: https://doi.org/10.1134/S0040577921040012
Bibliographic databases:
Document Type: Article
MSC: 37K05, 37K10, 35Q53
Language: Russian
Citation: Chuanzhong Li, “Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry”, TMF, 207:1 (2021), 3–22; Theoret. and Math. Phys., 207:1 (2021), 397–414
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf10010
  • https://doi.org/10.4213/tmf10010
  • https://www.mathnet.ru/eng/tmf/v207/i1/p3
    • This publication is cited in the following 7 articles:
    1. Lixiang Zhang, Chuanzhong Li, “On limit fractional Volterra hierarchies”, Commun. Theor. Phys., 76:1 (2024), 015002  crossref  mathscinet
    2. Chuanzhong Li, Qian Chao, “Symmetries of the multicomponent $q$-KP hierarchy on a Grassmannian”, Theoret. and Math. Phys., 213:2 (2022), 1495–1512  mathnet  crossref  crossref  mathscinet  adsnasa
    3. Q. Zhao, H. Cheng, X. Li, Ch. Li, “Integrable nonlinear perturbed hierarchies of NLS-mKdV equation and soliton solutions”, Electronic Journal of Differential Equations, 2022:71 (2022), 1–32  crossref
    4. Zheng Wang, Chuanzhong Li, “On modified $B$KP systems and generalizations”, Theoret. and Math. Phys., 209:3 (2021), 1693–1716  mathnet  crossref  crossref  adsnasa  isi  elib
    5. Qian Ch., Li Ch., “Virasoro Symmetry of the Constrained Multi-Component Q-Kp and Q-Mkp Hierarchies”, Rep. Math. Phys., 88:2 (2021), 271–293  crossref  mathscinet  isi
    6. Hu M., Li Ch., “Symmetries of the Multi-Component Boussinesq Hierarchy”, Int. J. Mod. Phys. A, 36:16 (2021), 2150111  crossref  mathscinet  isi
    7. Wang H., Zhang Yu., “A Kind of Generalized Integrable Couplings and Their Bi-Hamiltonian Structure”, Int. J. Theor. Phys., 60:5 (2021), 1797–1812  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:259
    Full-text PDF :43
    References:79
    First page:11
     
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