The application of the constants of motion to nonlinear stationary waves in complex plasmas: A unified fluid dynamic viewpoint

Journal of Plasma Physics

Volumn 70, Issue 4, 2004, Pages 431-462

  McKenzie, J F ^a,b   Dubinin, E ^a   Sauer, K ^a   Doyle, T B ^b  

^a MAX PLANCK INSTITUT FÜR SONNENSYSTEMFORSCHUNG   (Germany)

^b UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; ELECTROMAGNETIC WAVES; ELECTROSTATICS; LASER PULSES; MAGNETOHYDRODYNAMICS; NONLINEAR EQUATIONS; OSCILLATIONS; PERTURBATION TECHNIQUES; SOLITONS;

ELECTRON DYNAMICS; NONLINEAR THEORY; NONLINEAR WAVES;

PLASMA DEVICES;

EID: 4243198263     PISSN: 00223778     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022377803002654     Document Type: Article

References (43)

1. Ablowitz, M. J. and Clarkson, P. A. 1991 Solitons, Nonlinear Equations and Inverse Scattering. Cambridge: Cambridge University Press.
2. Axford, Leer, E. and McKenzie, J. F. 1982 The structure of cosmic ray shocks. Astron. Astrophys. 11, 317.
3. Baumgartel, K. 1990 Soliton approach to magnetic holes. J. Geophys. Res. 104(28), 295.
4. Baumjohann, W., Georgescu, E., Fornacon, K.-H. et al. 1999 Magnetospheric lion roars. Ann. Geophys. 18, 1528.
5. Baumjohann, W., Treumann, R. A., Georgescu, E. et al. 2000 Waveform and packet structure of lion roars, Ann. Geophys. 17, 406.
6. Blandford, R. D. and Rees, M. J. 1974 A 'twin-exhaust' model for double radio sources. Mon. Not. R. Astr. Soc. 169, 395.
7. Buti, B., Galinski, V. L., Shevchenko, V. I., Lakhina, G. S., Tsurutani, B. T., Goldstein, B. E., Diamond. P. and Medvedev, M. V. 1999 Evolution of nonlinear Alfvén waves in streaming inhomogeneous plasmas. Astrophys. J. 523, 849.
8. Cattell, C., Crumley, J., Dombeck, J. et al. 2002 Polar observations of solitary waves at the Earth's magnetopause, Geophys. Res. Lett. 29, 1065.
9. Drazin, P. G. and Johson 1989 Solitons: An Introduction. Cambridge: Cambridge University Press.
10. Dubinin, E., Sauer, K. and McKenzie, J. F. 2002a Solitons and oscillitons in cold bi-ion plasmas: A parameter study. J. Plasma Physics 68, 27.
11. Dubinin, E., Saner, K., McKenzie, J. F. and Chanteur, G. 2002b Nonlinear waves and solitons propagating perpendicular to the magnetic field in bi-ion plasma with finite plasma pressure. Nonlinear Proc. Geophys. 9, 87.
12. Dubinin, E., Sauer, K. and McKenzie, J. F. 2003a Nonlinear stationary whistler waves and whistler solitons (oscillitons). Exact solutions. J. Plasma Physics 69, 305.
13. Dubinin, E., Sauer, K. and McKenzie, J. F. 2003b Solitons, oscillitons and stationary waves in a cold p - α plasma. J. Geophys. Res. 107, 1295.
14. Dubinin, E., Sauer, K. and McKenzie, J. F. 2003c Solitons, oscillitons and stationary waves in a warm p - α plasma. J. Geophys. Res. 107, 1296.
15. Ergun, R., Carlson, C., McFadden J. P. et al. 1998 FAST satellite observations of large amplitude solitary wave structures. Geophys. Rev. Lett. 25, 2041.
16. Hada, T. Kennel, C. F. and Bati B. 1989 Stationary Nonlinear Alfven Waves and Solitons, J. Geophys. Res. 94, 65.
17. Infeld, E. and Roulands, G. 2000 Nonlinear Waves, Solitons and Chaos. Cambridge: Cambridge University Press.
18. Karpman, V. I. 1975 Nonlinear Waves in Dispersive Media. Oxford: Pergammon.
19. Kennel, C. F., Buti, B., Hada, T. and Pellat, R. 1988 Nonlinear dispersive, elliptically polarized Alfvén waves. Phys. Fluids 31, 1949.
20. Kivelson, M. et al. 1996 The Gallileo magnetic field investigation. Science 274, 396.
21. McKenzie, J. F. 1991 Solar corona and wind. J. Geomagn. Geoelectr. 43, (Suppl.) 48.
22. McKenzie, J. F., Marsch, E., Baumgartel, K. and Sauer, K. 1993 Wave and stability properties of multi-ion plasmas with applications to winds and flows. Ann. Geophys. 11, 341.
23. McKenzie, J. F., Sauer, K. and Dubinin, E. 2001 Stationary waves in a bi-ion plasma transverse to the magnetic field. J. Plasma Phys. 65, 197.
24. McKenzie, J. F. and Doyle, T. B. 2001 Oblique solitons in a cold magnetized plasma. Phys. Plasmas 8, 4367.
25. McKenzie, J. F. and Doyle, T. B. 2002 The properties of fast and slow oblique solitons in a magnetized plasma. Phys. Plasmas 9, 55.
26. McKenzie, J. F. 2003 Nonlinear stationary waves of the ion-cyclotron-acoustic type. Solitons and spiky waveforms. J. Plasma Phys., in press.
27. McKenzie, J. F. and Doyle, T. B. 2003 A unified view of acoustic-electrostatic solitons in complex plasmas. New Journ. Physics 5, 26.1.
28. McKenzie, J. F., Verheest, M., Doyle, T. B. and Hellberg, M. 2003 Rarefactive ion-acoustic solitons in a bi-ion plasma. Physics of Plasmas, submitted.
29. Meziane, K., Mazelle, C. and Lin, R. et al. 2001 Three-dimensional observations of gyrating ion distributions far upstream from the Earth's bow shock and their associations with low-frequency waves. J. Geophys. Res. 106, 5731.
30. Mjolhus, E. and Wyller, J. 1986 Alfvén solitons. Phys. Scripta 33, 442.
31. Mozer, F., Ergun, R., Temerin, M. et al. 1997 New features in time domain electric field structures in the auroral acceleration region. Phys. Rev. Lett. 79, 1281.
32. Picket, J. S., Menietti, J. D., Gurnett, D. A. et al. 2003 Solitary potential structures observed in the magnetosheath by the Cluster spacecraft. Nonlinear Proc. Geophys. 10, 3.
33. Pottelete, R., Treumann, R. A. and Berthomier, M. 2001 Auroral plasma turbulence and the cause of AKR fine structure. J. Geophys. Res. 106, 8465.
34. Reddy, R. V., Lakhina, G. S., Singh, N. and Bharuthram, R. 2002 Spiky parallel electrostatic ion cyclotron and ion acoustic waves. Nonlinear Proc. Geophys. 9, 25.
35. Sauer, K., Dubinin, E. and McKenzie, J. F. 2001 New type of soliton in bi-ion plasmas and possible implications. Geophys. Rev. Lett. 28, 3589.
36. Sauer, K., Dubinin, E. and McKenzie, J. F. 2002a Coherent wave emission by whistler oscillitons: Application to lion roars. Geophys. Res. Lett. 29, 2226.
37. Sauer, K., Dubinin, E. and McKenzie, J. F. 2002b Coherent waves in multi-ion plasmas. Phys. Scripta T98, 52.
38. Sauer, K., Dubinin, E. and McKenzie, J. F. 2003 Solitons and oscillitons in multi-ion plasmas. Nonlinear Proc. Geophys. 10, 121.
39. Stasiewitz, K., Shukla, P. K., Gustafsson, G. et al. 2003 Slow magnetosonic solitons detected by the Cluster spacecraft. Phys. Rev. Lett. 90, 085002-1.
40. Verheest, F., Cattaert, R. T., Lakhina, G. S. and Singh, S. V. 2003 Gas-dynamic description of electrostatic solitons. J. Plasma Phys. in press.
41. Whitham, G. B. 1978 Linear and Nonlinear Waves. New York: Wiley-Interscience.
42. Wintelhalter, D. et al. 1994 Ulysses field and plasma observations of magnetic holes in the solar wind and their relation to mirror-mode structures. J. Geophys. Res. 99, 23 371.
43. Zhang, Y., Matsumoto, H. and Kojima, H. 1998 Lion roars in the magnetosheath: the Geotail observations. J. Geophys. Res. 103, 4615.