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Separate spin evolution quantum hydrodynamics is generalized to include theCoulomb exchange interaction. The Coulomb exchange interaction is considered asthe interaction between the spin-down electrons being in the quantum statesoccupied by one electron, giving main contribution in the equilibrium. Thegeneralized model is applied to study the non-linear spin-electron acousticwaves. Existence of the spin-electron acoustic soliton is demonstrated.Contributions of the concentration, spin polarization, and exchange interactionin the properties of the spin electron acoustic soliton are studied.

Spin electron acoustic soliton: Separate spin evolution of electrons with exchange interaction