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2＋1 dimensional nonisospectral super integrable hierarchies associated with a class of extended Lie superalgebras

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  • Wang, Haifeng
  • He, Baiying

Abstract

Based on a class of extended Lie superalgebras that we constructed, we present a method for generating 2＋1 dimensional nonisospectral super integrable hierarchies. By considering some applications, we derive three kinds of 2＋1 dimensional nonisospectral super Dirac integrable hierarchies and AKNS integrable hierarchies. Moreover, super Hamiltonian structures of these 2＋1 dimensional super integrable hierarchies are obtained.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003442
    DOI: 10.1016/j.chaos.2023.113443
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    References listed on IDEAS

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    1. Zhang, Yufeng & Guo, Xiurong, 2006. "A (2+1)-dimensional integrable hierarchy and its extending integrable model," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 555-559.
    2. 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).
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    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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