A novel integrable asymmetric coupling of the Ablowitz-Kaup-Newell-Segur (AKNS) system was generated by the completion process of the integrable coupling. We proved the Liouville integrability of the AKNS integrable coupling by deriving its bi-Hamiltonian structures applying the variational identity. Nextly, we investigated the generalized symmetry and infinitely many conservation laws by Hereman method for the integrable coupling system considered in this paper. Finally, we presented the explicit solutions of the resulting integrable coupling system by constructing Darboux transformation for the first time.

中文翻译：

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具有多分量的可集成非对称AKNS模型

通过可积耦合的完成过程，产生了Ablowitz-Kaup-Newell-Segur（AKNS）系统的新型可积非对称耦合。我们通过应用变分恒等式推导其双哈密尔顿结构，证明了AKNS可积耦合的Liouville可积性。接下来，我们针对本文考虑的可积耦合系统，通过赫尔曼方法研究了广义对称性和无穷多个守恒律。最后，我们首次通过构造Darboux变换，给出了所得可积耦合系统的显式解决方案。