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Explore the dynamical stability and real-time dynamics of ferrodark solitons (FDSs) in quasi-two-dimensional ferromagnetic spin-1 Bose-Einstein condensates. Delve into the characteristics of type-I and type-II FDSs, examining their inertial mass properties and associated instabilities. Analyze the behavior of type-I FDSs, including their positive inertial mass, in-plane spin winding, and elastic oscillations under transverse perturbations. Investigate the unique properties of type-II FDSs, focusing on their negative inertial mass, snake instability, and spin-twist instability. Discover how the snake instability leads to the conversion of type-II FDS segments to type-I and the production of mass vortex dipoles, rather than causing breakdown. Examine the resulting hybridized-chain dynamics and the preservation of the magnetic domain wall's topological structure over extended periods.
