In this paper, we consider nonisospectral problems of two distinct dimensions on the loop algebra of the symplectic Lie algebra sp(6), and construct two integrable systems. Furthermore, we derive their Hamiltonian structures using the Tu scheme. Additionally, we construct an integrable hierarchy on the generalized Lie algebra Gsp(6) and establish its Hamiltonian structure as well.
@article{arxiv.2507.17278,
title = {The nonisospectral integrable hierarchies associated with Lie algebra $\mathfrak{sp}(6)$},
author = {Yanhui Bi and Bo Yuan and Yuqi Ruan and Tao Zhang},
journal= {arXiv preprint arXiv:2507.17278},
year = {2025}
}