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- W1991457770 abstract "Using the stereographic projection of the unit sphere of the spin field onto a complex plane for the equations of motion in a uniaxial anisotropic Heisenberg spin chain with Gilbert damping in an external magnetic field, the effect of the magnetic field for the integrability of the system is discussed. The effect of the Gilbert damping is also analyzed. Then, introducing an auxiliary parameter, the Lax equations for the Darboux matrices are generated recursively. The Jost solutions satisfy the corresponding Lax equations if constants are suitably chosen. The exact soliton solutions are then investigated. These results show that the solitary waves depend essentially on two velocities that describe a spin configuration deviated from a homogeneous magnetization, while the depths and widths of surface of solitary waves vary periodically with time. The center of an inhomogeneity moves with a constant velocity, while the shape of a soliton also changes with another constant velocity and it is not symmetrical with respect to the center. The z component of the total magnetic momentum and the total magnetic momentum vary with time. The asymptotic behavior of multisoliton solutions is also given." @default.
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- W1991457770 date "1997-02-01" @default.
- W1991457770 modified "2023-09-23" @default.
- W1991457770 title "Solitons in a uniaxial anisotropic Heisenberg spin chain with Gilbert damping in an external magnetic field" @default.
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- W1991457770 doi "https://doi.org/10.1103/physreve.55.1375" @default.
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