Hamiltonian structures of binary higher-order constrained flows associated with two \(3\times 3\) spectral problems

DOI10.1016/S0375-9601(00)00450-3zbMath1115.37348MaRDI QIDQ997674

Wen-Xiu Ma, Yi-Shen Li

Publication date: 7 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian structuregauge transformationsoliton hierarchysymmetry constraintregular and non-regular constrained flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (3)

A generalized AKNS hierarchy, bi-Hamiltonian structure, and Darboux transformation ⋮ Integrable decomposition of a hierarchy of soliton equations and integrable coupling system by semidirect sums of Lie algebras ⋮ HAMILTONIAN STRUCTURES FOR THE NONREGULAR CONSTRAINED FLOWS OF THE AKNS HIERARCHY

Cites Work

• Binary nonlinearization of AKNS spectral problem under higher-order symmetry constraints.
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
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