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

Haifeng Wang and Baiying He

Chaos, Solitons & Fractals, 2023, vol. 171, issue C

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.

Keywords: Lie superalgebra; 2＋1 dimensional nonisospectral super-integrable hierarchies; Super Hamiltonian structure (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003442

DOI: 10.1016/j.chaos.2023.113443

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