Abstract
The dispersion relation and the speed of linear magnetosonic wave are given in the present paper. Furthermore, an arbitrary amplitude nonlinear magnetosonic solitary wave is studied. It is found that the amplitude of the magnetosonic solitary wave cannot be larger than a critical value. It is found that the maximum speed of the magnetosonic solitary wave is about 1.24 times that of the Alfvén wave speed when the magnetic field is sufficiently strong so that the magnetic pressure is much larger than the fluid pressure. On the other hand, the maximum perturbed magnetic field is just equal to the external magnetic field if the magnetic pressure is much larger than the fluid pressure. It suggest that the variation regime of the perturbed magnetic field is \((0,B_{0})\), while the variation regime of the speed of magnetosonic solitary wave is \((v_{A}, 1.24v_{A})\) in the upstream and downstream regions of the Venusian bow shock. Here \(B_{0}\) and \(v_{A}\) represent the background magnetic field and the Alfvén wave speed, respectively.
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This work was supported by the National Natural Science Foundation of China (Grant No. 11965019 and No. 42004131).
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Heng Zhang and Zhizhe Liu wrote the main manuscript text. Wenshan Duan is the designer and principal of the project. Fangping Wang, Bo Liu and Lin Wei collected important background information. All authors reviewed the manuscript.
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Zhang, H., Liu, Zz., Wang, Fp. et al. The upper-limited amplitude of the nonlinear magnetosonic solitary wave in a magnetized plasma. Astrophys Space Sci 367, 88 (2022). https://doi.org/10.1007/s10509-022-04121-x
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DOI: https://doi.org/10.1007/s10509-022-04121-x