The nonisospectral integrable hierarchies associated with Lie algebras 𝔰𝔭(4) and 𝔰𝔬(3,2)

Based on Lie algebras [Formula: see text] and [Formula: see text], we derive two kinds of [Formula: see text]-dimensional nonisospectral integrable hierarchies. Moreover, we obtain their Hamiltonian structures. At the same time, by using the TAH scheme, two kinds of [Formula: see text]-dimensional nonisospectral integrable hierarchies and the corresponding Hamiltonian structures are obtained. Finally, by using [Formula: see text], we obtain that there are the same integrable hierarchies of these two isomorphic Lie algebras.