Turkish Journal of Mathematics
Abstract
We present a novel hierarchy of AKNS integrable couplings based on a specific semidirect sum of Lie algebras associated with sl$(2)$. By applying the variational identity, we derive a bi-Hamiltonian structure of the resulting coupling systems, thereby showing their Liouville integrability.
DOI
10.3906/mat-1511-123
Keywords
Integrable couplings, semidirect sum, Hamiltonian structure
First Page
1467
Last Page
1476
Recommended Citation
ZHANG, Y, MA, W, & ÜNSAL, Ö (2017). A novel kind of AKNS integrable couplings and their Hamiltonian structures. Turkish Journal of Mathematics 41 (6): 1467-1476. https://doi.org/10.3906/mat-1511-123
