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Propagation of the finite amplitude electromagnetic wave through thepartially spin-polarized degenerate plasmas leads to the instability. Theinstability happens at the interaction of the electromagnetic wave with thesmall frequency longitudinal spin-electron-acoustic waves. Strongestinstability happens in the high density degenerate plasmas with the Fermimomentum close to $m_{e}c$, where $m_{e}$ is the mass of electron, and $c$ isthe speed of light. The increase of the increment of instability with thegrowth of the spin polarization of plasmas is found.

Nonlinear Coupling of Electromagnetic and Spin-Electron-Acoustic Waves in Spin-polarized Degenerate Relativistic Astrophysical Plasma