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arXiv · 2507.17278

The nonisospectral integrable hierarchies associated with Lie algebra $\mathfrak{sp}(6)$

Yanhui Bi·Bo Yuan·Yuqi Ruan·Tao Zhang
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Abstract

In this paper, we consider nonisospectral problems of two distinct dimensions on the loop algebra of the symplectic Lie algebra $\mathfrak{sp}(6)$, 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 $\mathfrak{Gsp}(6)$ and establish its Hamiltonian structure as well.

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Yanhui Bi, Bo Yuan, Yuqi Ruan, Tao Zhang. 2025-07-23. The nonisospectral integrable hierarchies associated with Lie algebra $\mathfrak{sp}(6)$. https://arxiv.org/abs/2507.17278

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