A novel kind of AKNS integrable couplings and their Hamiltonian structures
TURKISH JOURNAL OF MATHEMATICS（2017）
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.
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Key words
Integrable couplings,semidirect sum,Hamiltonian structure
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