A novel kind of AKNS integrable couplings and their Hamiltonian structures

Authors : Yu-juan ZHANG, Wen-xiu MA, Ömer ÜNSAL

Pages : 1467-1476

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We present a novel hierarchy of AKNS integrable couplings based on a specific semidirect sum of Lie algebras associated with sl$insert ignore into journalissuearticles values(2);$. 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