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

Baiying He, Liangyun Chen and Bing Sun

Applied Mathematics and Computation, 2020, vol. 370, issue C

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.

Keywords: Lie superalgebras; Supertrace identity; Super-Hamiltonian structures (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:370:y:2020:i:c:s0096300319308598

DOI: 10.1016/j.amc.2019.124867

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