Some comments on the bi(tri)-Hamiltonian structure of Generalized AKNS and DNLS hierarchies
solv-int
2015-06-26 v1 Exactly Solvable and Integrable Systems
Abstract
We give the correct prescriptions for the terms involving the inverse of the derivative of the delta function, in the Hamiltonian structures of the AKNS and DNLS systems, in order for the Jacobi identities to hold. We also establish that the sl(2) AKNS and DNLS systems are tri-Hamiltonians and construct two compatible Hamiltonian structures for the sl(3) AKNS system. We also give a derivation of the recursion operator for the sl(n+1) DNLS system.
Keywords
Cite
@article{arxiv.solv-int/9701012,
title = {Some comments on the bi(tri)-Hamiltonian structure of Generalized AKNS and DNLS hierarchies},
author = {H. S. Blas Achic and L. A. Ferreira and J. F. Gomes and A. H. Zimerman},
journal= {arXiv preprint arXiv:solv-int/9701012},
year = {2015}
}
Comments
10 pages, LaTex