Two types of hierarchies of evolution equations associated with the extended Kaup-Newell spectral problem with an arbitrary smooth function.

DOI10.1016/S0960-0779(02)00149-2zbMath1038.37057OpenAlexW2050542494MaRDI QIDQ1419159

Zhenya Yan

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00149-2

zbMATH Keywords

Hamiltonian structureLiouville integrableLax integrableTrace identityIsospectral problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (4)

A Lax integrable hierarchy, bi-Hamiltonian structure and finite-dimensional Liouville integrable involutive systems ⋮ A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system ⋮ A generalized AKNS hierarchy and its bi-Hamiltonian structures ⋮ Two types of new Lie algebras and corresponding hierarchies of evolution equations

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• A coupled AKNS–Kaup–Newell soliton hierarchy
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem

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