A soliton hierarchy derived from a fourth-order matrix spectral problem possessing four fields

Wen-Xiu Ma

Chaos, Solitons & Fractals, 2025, vol. 195, issue C

Abstract: This paper is dedicated to the construction of integrable commuting flows starting from a fourth-order matrix spectral problem involving four fields, which is derived from a specialized matrix Lie algebra over the real domain. This work includes the development of an explicit bi-Hamiltonian formulation and a hereditary recursion structure, which confirms the hierarchy’s integrability in the Liouville sense. Furthermore, we examine two second-order and third-order integrable models, along with their reduced, uncombined forms.

Keywords: Integrable hierarchy; Matrix eigenvalue problem; Lax pair; Combined NLS models; Combined mKdV models (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:195:y:2025:i:c:s0960077925003224

DOI: 10.1016/j.chaos.2025.116309

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