The two generalized AKNS hierarchies and their Hamiltonian structures
Abstract
With the help of the known Lie algebra G1 and a new Lie algebra G2, the two different isospectral problem are designed. Making use of the zero curvature equation and the tri-trace identity, the two generalized AKNS hierarchies and their Hamiltonian structures are obtained, respectively.
- Publication:
-
Communications in Nonlinear Science and Numerical Simulations
- Pub Date:
- August 2009
- DOI:
- 10.1016/j.cnsns.2008.11.006
- Bibcode:
- 2009CNSNS..14.3274H
- Keywords:
-
- Lie algebra;
- Integrable equation hierarchy;
- Tri-trace identity;
- Hamiltonian structure;
- 02.30.Ik;
- Integrable systems