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    Area of Science:

    • Nonlinear optics
    • Condensed matter physics
    • Waveguide optics

    Background:

    • Topological insulators exhibit unique edge states.
    • Su-Schrieffer-Heeger (SSH) arrays are a key platform for topological phenomena.
    • Rotation and nonlinearity can significantly alter topological properties.

    Purpose of the Study:

    • Investigate the formation and stability of topological edge solitons in rotating SSH waveguide arrays.
    • Analyze the impact of array rotation on edge states and their topological gap.
    • Explore the role of defocusing nonlinearity in stabilizing these solitons.

    Main Methods:

    • Numerical simulations of rotating SSH waveguide arrays.
    • Analysis of linear spectra to identify topological gaps and edge states.
    • Bifurcation analysis to study soliton formation and stability.

    Main Results:

    • Rotation can displace edge states from the topological gap.
    • Defocusing nonlinearity shifts edge states back into the topological gap, forming stable solitons.
    • Trivially, rotation induces edge states in semi-infinite gaps, with nonlinearity stabilizing related solitons.

    Conclusions:

    • Defocusing nonlinearity is crucial for stabilizing topological edge solitons in rotating SSH arrays.
    • The interplay between rotation and nonlinearity offers pathways to control topological states.
    • This work provides insights into engineered topological matter with potential applications in optics.