Binary Nonlinearization of AKNS Spectral Problem under Higher-Order Symmetry Constraints

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dc.creatorLi, Yishen
dc.creatorMa, Wen-Xiu
dc.date1998-08-20
dc.date.accessioned2026-07-07T06:17:38Z
dc.date.available2026-07-07T06:17:38Z
dc.descriptionBinary nonlinearization of AKNS spectral problem is extended to the cases of higher-order symmetry constraints. The Hamiltonian structures, Lax representations, $r$-matrices and integrals of motion in involution are explicitly proposed for the resulting constrained systems in the cases of the first four orders. The obtained integrals of motion are proved to be functionally independent and thus the constrained systems are completely integrable in the Liouville sense.
dc.description16 pages, latex, to appear in Chaos, Solitons and Fractals
dc.identifierhttps://arxiv.org/abs/solv-int/9808010
dc.identifierhttp://arxiv.org/abs/solv-int/9808010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94453
dc.subjectExactly Solvable and Integrable Systems
dc.titleBinary Nonlinearization of AKNS Spectral Problem under Higher-Order Symmetry Constraints
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