- Turkish Journal of Mathematics
- Vol: 41 Issue: 6
- A novel kind of AKNS integrable couplings and their Hamiltonian structures
A novel kind of AKNS integrable couplings and their Hamiltonian structures
Authors : Yu-juan Zhang, Wen-xiu Ma, Ömer Ünsal
Pages : 1467-1476
View : 6 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Integrable couplings, semidirect sum, Hamiltonian structure