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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 221, Number 3, Pages 561–589
DOI: https://doi.org/10.4213/tmf10720 (Mi tmf10720) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A multicomponent generalized nonisospectral super AKNS integrable hierarchy

Jinxiu Li, Haifeng Wang

School of Science, Jimei University, Xiamen, China
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DOI: https://doi.org/10.4213/tmf10720
Abstract: In the nonisospectral case, we introduce the associated spectral problem with a perturbation term. We obtain a generalized nonisospectral super AKNS hierarchy and a coupled generalized nonisospectral super AKNS hierarchy associated with generalized Lie superalgebras $sl(2,1)$ and $sl(4,1)$. Based on a new type of multicomponent Lie superalgebra $sl(2N,1)$, a multicomponent generalized nonisospectral super AKNS hierarchy is obtained. By using the supertrace identity, the super bi-Hamiltonian structures of the resulting superintegrable hierarchies are obtained.
Keywords: Lie superalgebra, super Hamiltonian structure, multicomponent generalized super AKNS hierarchy.
Funding agency Grant number
Department of Education of Fujian Province JAT220172
Fujian Alliance of Mathematics 2024SXLMMS03
Scientific Research Start-Up Foundation of Jimei University ZQ2022024
National Natural Science Foundation of China 12371256
12071237
This work was supported by the Fujian Provincial Education Department (grant No. JAT220172), the Fujian Alliance of Mathematics (grant No. 2024SXLMMS03), the Scientific Research Start-Up Foundation of Jimei University (grant No. ZQ2022024), and the National Natural Science Foundation of China (grants No. 12371256 and 12071237).
Received: 08.03.2024
Revised: 19.08.2024
Published: 16.12.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 221, Issue 3, Pages 2083–2108
DOI: https://doi.org/10.1134/S0040577924120067
Bibliographic databases:
Document Type: Article
MSC: 37K05, 37K40, 35Q53
Language: Russian
Citation: Jinxiu Li, Haifeng Wang, “A multicomponent generalized nonisospectral super AKNS integrable hierarchy”, TMF, 221:3 (2024), 561–589; Theoret. and Math. Phys., 221:3 (2024), 2083–2108
Citation in format AMSBIB
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\paper A~multicomponent generalized nonisospectral super AKNS integrable hierarchy
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\pages 561--589
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    • This publication is cited in the following 1 articles:
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