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Turkish Journal of Mathematics

DOI

10.3906/mat-1511-123

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.

First Page

1467

Last Page

1476

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Mathematics Commons

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