Reduced matrix mKdV integrable modes and their symmetry hierarchies

This paper investigates reduced matrix modified Korteweg–de Vries (mKdV) integrable models within the framework of the zero-curvature formulation. By utilizing the Lax pairs associated with the Ablowitz–Kaup–Newell–Segur matrix spectral problems, we derive representative examples of reduced matrix mKdV integrable models along with their symmetry hierarchies. A pair of similarity transformations serves as the central mechanism in this construction, ensuring the invariance of the zero-curvature equations.