Abstract
The properties of solitary Alfvén waves are studied for different ratios between the thermal plasma pressure and the magnetic pressure. It is shown that the wave propagation is accompanied by the generation of a nonlinear ion current along the magnetic field, the contribution of which to the Sagdeev potential was previously ignored. An expression for the quasi-potential of Alfvén waves with allowance for this effect is derived. It is found that Alfvén waves are compression waves in the inertial limit, whereas kinetic Alfvén waves are rarefaction waves. In a high-pressure plasma, a solitary wave has the form of either a well or a hump in the plasma density, depending on the relations between the Mach number, angle between the wave propagation direction and the magnetic field, and the value of the plasma beta.
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References
P. K. Shukla, H. D. Rahman, and R. P. Sharma, J. Plasma Phys. 28, 125 (1982).
M. K. Kalita and B. C. Kalita, J. Plasma Phys. 35, 267 (1986).
D.-J. Wu, D.-Y. Wang, and C.-J. Felthammer, Phys. Plasmas 2, 4476 (1995).
Y. Chen, Z.-Y. Li, W. Liu, et al., Phys. Plasmas 7, 371 (2000).
A. Hasegawa and K. Mima, Phys. Rev. Lett. 37, 690 (1976).
M. Y. Yu and P. K. Shukla, Phys. Fluids 21, 1457 (1978).
M. Berthomier and R. Potellette, Phys. Plasmas 6, 467 (1999).
M. A. Mahmood, A. M. Mirza, P. H. Sakanaka, et al., Phys. Plasmas 9, 3794 (2002).
C. R. Choi and D.-Y. Lee, Phys. Plasmas 14, 052304 (2007).
M. H. Woo, C. M. Ryu, and C. R. Choi, Phys. Plasmas 17, 053707 (2010).
H. Kakati and K. S. Goswami, Phys. Plasmas 5, 4229 (1998).
H. Saleem and S. Mahmood, Phys. Plasmas 10, 2612 (2003).
S. Mahmood and H. Saleem, Phys. Plasmas 10, 4860 (2003).
O. P. Sah, Phys. Plasmas 17, 032306 (2010).
C. E. Seyler and R. L. Lysak, Phys. Plasmas 6, 4778 (1999).
N. Devi, R. Gogoi, G. C. Das, et al., Phys. Plasmas 14, 012107.
P. Chatterjee, T. Saha, S. V. Muniandy, et al., Phys. Plasmas 16, 103702 (2009).
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Original Russian Text © V.V. Prudskikh, 2012, published in Fizika Plazmy, 2012, Vol. 38, No. 8, pp. 709–715.
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Prudskikh, V.V. Exact solutions for oblique solitary Alfvén waves in plasma. Plasma Phys. Rep. 38, 651–657 (2012). https://doi.org/10.1134/S1063780X12070082
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DOI: https://doi.org/10.1134/S1063780X12070082