@article{He2024, 
author = {Baiying He and Siyu Gao},
title = {The nonisospectral integrable hierarchies of three generalized Lie algebras},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {27361-27387},
keywords = {Lie algebra, Hamiltonian structure, nonisospectral integrable hierarchy, integrable couplings},
url = {https://www.sciopen.com/article/10.3934/math.20241329},
doi = {10.3934/math.20241329},
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.}
}