Authors: YU-JUAN ZHANG, WEN-XIU MA, ÖMER ÜNSAL
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
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