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Research Article | Open Access

The nonisospectral integrable hierarchies of three generalized Lie algebras

Baiying He( ), Siyu Gao
School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China
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Abstract

We construct the generalized Lie algebras sp(4), so(5), and so(3,2), and derive three kinds of (1+1)-dimensional nonisospectral integrable hierarchies. Moreover, we obtain their Hamiltonian structures. Finally, based on Lie algebras sp(4), so(5), and so(3,2), by using the semi-direct sum decomposition of Lie algebras, we construct three kinds of integrable coupling systems associated with these three Lie algebras.

Keywords

Lie algebraHamiltonian structurenonisospectral integrable hierarchyintegrable couplings
CLC number: 37K05, 37K40, 35Q53

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AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 27361-27387
DOI: 10.3934/math.20241329

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Cite this article:
He B, Gao S. The nonisospectral integrable hierarchies of three generalized Lie algebras. AIMS Mathematics, 2024, 9(10): 27361-27387. https://doi.org/10.3934/math.20241329

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Received: 18 August 2024
Revised: 14 September 2024
Accepted: 18 September 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)