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New super integrable hierarchies associated with osp(2|2) and spo(2|2) and their applications

Author

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  • He, Baiying
  • Chen, Liangyun
  • Sun, Bing

Abstract

Based on the Lie superalgebras osp(2|2) and spo(2|2), we generate some new super soliton hierarchies. These hierarchies can reduce to the AKNS hierarchy and the super-AKNS hierarchy. And by using the supertrace identity on Lie superalgebras, we construct the super-Hamiltonian structures of these new super soliton hierarchies. Then, as the applications of spo(2|2) ≅ osp(2|2) and spo(2|2) ≅ sl(1|2), we obtain the relations of different hierarchies associated with different Lie superalgebras.

Suggested Citation

  • He, Baiying & Chen, Liangyun & Sun, Bing, 2020. "New super integrable hierarchies associated with osp(2|2) and spo(2|2) and their applications," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    • Handle: RePEc:eee:apmaco:v:370:y:2020:i:c:s0096300319308598
    DOI: 10.1016/j.amc.2019.124867
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    Cited by:

    1. Wang, Haifeng & He, Baiying, 2023. "2＋1 dimensional nonisospectral super integrable hierarchies associated with a class of extended Lie superalgebras," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    2. Wang, Haifeng & He, Baiying, 2023. "A class of extended Lie superalgebras and their applications," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

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