Some comments on the bi(tri)-Hamiltonian structure of generalized AKNS and DNLS hierarchies

DOI10.1016/S0375-9601(97)00865-7zbMath0983.37081arXivsolv-int/9701012OpenAlexW3106379343MaRDI QIDQ1966521

H. S. Blas Achic, J. F. Gomes, A. H. Zimerman, Luiz Agostinho Ferreira

Publication date: 8 March 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9701012

zbMATH Keywords

recursion operatorJacobi identitiesHamiltonian structuresAKNS systemstri-HamiltonianDNLS systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Multi-component AKNS systems

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Nonlinear Schrödinger equations and simple Lie algebras
• Nonlinear equations in the applied sciences
• Derivative nonlinear Schrodinger equations and Hermitian symmetric spaces
• A simple model of the integrable Hamiltonian equation
• Affine Lie algebraic origin of constrained KP hierarchies
• Bi-Hamiltonian structures of the coupled AKNS hierarchy and the coupled Yajima–Oikawa hierarchy

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