The \(r\)-matrix structure of the restricted coupled AKNS-Kaup-Newell flow

DOI10.1016/S0893-9659(99)00198-6zbMath0983.37071MaRDI QIDQ1588752

Ruguang Zhou, Wen-Xiu Ma

Publication date: 4 December 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Lax pair\(r\)-matrixfinite dimensional integrable system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Cites Work

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• Nonlinearization of the Lax system for AKNS hierarchy
• A Generalization of Inverse Scattering Method
• An exact solution for a derivative nonlinear Schrödinger equation
• The finite-band solution of the Jaulent–Miodek equation
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems

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