Multi-component integrable generalizations of the Fokas–Lenells equation, associated with each irreducible Hermitian symmetric space are formulated. Description of the underlying structures associated to the integrability, such as the Lax representation and the bi-Hamiltonian formulation of the equations is provided. Two reductions are considered as well, one of which leads to a nonlocal integrable model. Examples with Hermitian symmetric spaces of all classical series of types A.III, BD.I, C.I and D.III are presented in details, as well as possibilities for further reductions in a general form.

中文翻译：

---

Hermitian 对称空间上的多分量 Fokas-Lenells 方程

Fokas-Lenells 方程的多分量可积推广，与每个不可约 Hermitian 对称空间相关联。提供了与可积性相关的基础结构的描述，例如方程的 Lax 表示和双哈密尔顿公式。还考虑了两种减少，其中一种导致非局部可积模型。详细介绍了所有经典系列 A.III、BD.I、CI 和 D.III 的 Hermitian 对称空间的示例，以及以一般形式进一步简化的可能性。