The upper-limited amplitude of the nonlinear magnetosonic solitary wave in a magnetized plasma

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...

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Published in:Astrophysics and space science 2022-09, Vol.367 (9), Article 88
Main Authors: Zhang, Heng, Liu, Zhi-zhe, Wang, Fang-ping, Liu, Bo, Wei, Lin, Duan, Wen-shan
Format: Article
Language:English
Subjects:
Alfven waves
Amplitudes
Astrobiology
Astronomy
Astrophysics
Astrophysics and Astroparticles
Cosmology
External pressure
Fluid pressure
Magnetic fields
Magnetism
Magnetohydrodynamic waves
Observations and Techniques
Physics
Physics and Astronomy
Planetary magnetic fields
Solitary waves
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
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Summary: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 , 1.24 v 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.
ISSN:0004-640X
1572-946X
DOI:10.1007/s10509-022-04121-x