The nonisospectral integrable hierarchies of three generalized Lie algebras
We construct the generalized Lie algebras $ \mathfrak{sp}(4) $, $ \mathfrak{so}(5) $, and $ \mathfrak{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 $ \mathfrak{sp}(4) $,...
| Published in: | AIMS Mathematics |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-09-01
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| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241329?viewType=HTML |
| Summary: | We construct the generalized Lie algebras $ \mathfrak{sp}(4) $, $ \mathfrak{so}(5) $, and $ \mathfrak{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 $ \mathfrak{sp}(4) $, $ \mathfrak{so}(5) $, and $ \mathfrak{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. |
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| ISSN: | 2473-6988 |