The AKNS-KN coupling system is obtained on the base of zero curvature equation by enlarging the spectral equation. Under the Bargmann symmetry constraint, the AKNS-KN coupling system is decomposed into two integrable Hamiltonian systems with the corresponding variables and the finite dimensional Hamiltonian systems are Liouville integrable.
"Binary Nonlinearization for AKNS-KN Coupling System." Abstr. Appl. Anal. 2014 (SI31) 1 - 12, 2014. https://doi.org/10.1155/2014/253102