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October 8, 2025Open Access

The nonisospectral integrable hierarchies associated with Lie algebra sp (6)

Key Points

Two distinct nonisospectral problems are addressed, leading to the construction of integrable systems.
Hamiltonian structures are derived using the Tu scheme, providing insights into the systems' dynamics.
An integrable hierarchy is constructed on the generalized Lie algebra, further demonstrating its Hamiltonian properties.
These findings enhance understanding of nonisospectral integrable hierarchies in the context of the symplectic Lie algebra.

Abstract

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.

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Cite This Study

Bi et al. (Wed,) studied this question.

synapsesocial.com/papers/68e6679587ecc93a24d1756d https://doi.org/https://doi.org/10.48550/arxiv.2507.17278

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