An extended AKNS eigenvalue problem and its affiliated integrable Hamiltonian hierarchies

Wen-Xiu Ma

Chaos, Solitons & Fractals, 2024, vol. 188, issue C

Abstract: This paper aims to study an extended 4 × 4 AKNS eigenvalue problem and construct its affiliated integrable hierarchies of bi-Hamiltonian models over the real field. The Lax pair framework serves as the fundamental tool, ensuring integrability through bi-Hamiltonian structures with hereditary recursion operators. We compute illustrative examples of lower-order equations to demonstrate the affiliated integrable hierarchies.

Keywords: Matrix eigenvalue problem; Lax pair; Zero curvature equation; Integrable model; Bi-Hamiltonian formulation (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924011329

DOI: 10.1016/j.chaos.2024.115580

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