Achic, H. S. Bias [UNESP]Ferreira, L. A. [UNESP]Gomes, J. F.Zimerman, A. H.2014-05-272014-05-271998-01-12Physics Letters, Section A: General, Atomic and Solid State Physics, v. 237, n. 4-5, p. 225-233, 1998.0375-9601http://hdl.handle.net/11449/65389We give the correct prescriptions for the terms involving ∂ -1 xδ(x - y), in the Hamiltonian structures of the AKNS and DNLS systems, necessary for the Jacobi identities to hold. We establish that the sl(2) and sl(3) AKNS systems are tri-Hamiltonians and construct two compatible Hamiltonian structures for the sl(n) AKNS system. We give a method for the derivation of the recursion operator for the sl(n + 1) DNLS system, and apply it explicitly to the sl(2) case, showing that such a system is tri-Hamiltonian. © 1998 Elsevier Science B.V.225-233engArtigo10.1016/S0375-9601(97)00865-7WOS:000072021100005Acesso restrito2-s2.0-00413569348215976645016606