The nonisospectral integrable hierarchies associated with Lie algebra \mathfraksp(6)

2025/07/23 by Yanhui Bi, Bi, Yanhui, Bo Yuan +4
Mathematics · Physics and Astronomy · #17B10 #34A26 (Primary) #34C14 #58A30 (Secondary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2507.17278

openalex publication_date 2025/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider nonisospectral problems of two distinct dimensions on the loop algebra of the symplectic Lie algebra \mathfraksp(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 \mathfrakGsp(6) and establish its Hamiltonian structure as well.

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