Abstract
We present a multi-component integrable hierarchy via the zero curvature formulation. The trace identity is applied to construction of its Hamiltonian structure, and two integrable reductions are generated under similarity transformations. The adopted matrix spectral problem is associated with a special Lie sub-algebra of the general linear algebra.
•A general formulations of counterpart spectral problems of the Ablowitz-Kaup-Newell-Segur spectral problems.•An integrable hierarchy with a Hamiltonian structure.•Novel integrable generalized nonlinear Schroedinger equations and modified Korteweg-de Vries equations.