A novel kind of AKNS integrable couplings and their Hamiltonian structures

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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