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The bi-Hamiltonian structures of some new Lax integrable hierarchies associated with \(3\times 3\) matrix spectral problems.

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Publication:1966414
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DOI10.1016/S0375-9601(97)00673-7zbMath1044.37544MaRDI QIDQ1966414

Wei-Min Xue, Hong-ci Huang, Xiao-Nan Wu, Zuo-nong Zhu

Publication date: 7 March 2000

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



Mathematics Subject Classification ID

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


Related Items

Darboux transformation and Hamiltonian structure for the Jaulent-Miodek hierarchy, A new \(4\times 4\) AKNS spectral problem and its associated integrable decomposition of the AKNS equation, Equivalent transformation between the matrices for expanding integrable model of the hierarchy of evolution equation, THE GENERALIZED MULTI-COMPONENT AKNS HIERARCHY AND N-FOLD DARBOUX TRANSFORMATION



Cites Work

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  • The Hamiltonian structure of new integrable systems associated with \(2\times 2\) spectral problems.
  • New Integrable Nonlinear Evolution Equations
  • An exact solution for a derivative nonlinear Schrödinger equation
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