Nonlinear dispersive instabilities in Kelvin-Helmholtz magnetohydrodynamic flows

Physica Scripta

Volumn 67, Issue 4, 2003, Pages 340-349

  Khater, A H ^a,b   Callebaut, D K ^b   Seadawy, A R ^a  

^a Beni Suef University   (Egypt)

^b UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); IONOSPHERE; MAGNETIC FIELDS; NONLINEAR EQUATIONS; SOLITONS; WAVE PROPAGATION;

PROGRESSIVE WAVES;

MAGNETOHYDRODYNAMICS;

EID: 0242501472     PISSN: 00318949     EISSN: None     Source Type: Journal    
DOI: 10.1238/Physica.Regular.067a00340     Document Type: Article

References (46)

1. Blandford, R. D., Begelman, M. C. and Rees, M. J., Sci. Am. 246, 84 (1982).
2. Parhi, S., Phys. Fluids. B4, 1589 (1992).
3. Schilinski, A. Yu. and Chernii, G. G., "Nonlinear Wave Processes," (Moscow, Mir. 1987).
4. Dungey, J. W. in "Proceedings of the Ionosphere," (The Physical Society of London, 1955) p. 225.
5. Min, K. W., Kim, T. and Lee, H., Planet. Space Sci. 45, 495 (1997).
6. Vranješ, J., Planet. Space Sci. 47, 1531 (1999).
7. Parker, E. N., "Interplanetary Dynamical Processes." (New York, 1963).
8. Pécseli, H. L., Rasmussen, J. J., Sugai, H. and Thomsen, K., Plasma Phys. Contr. Fusion 26, 1021 (1984).
9. Pécseli, H. L., Rasmussen, J. J. and Thomsen, K., Phys. Rev. Lett. 52, 2148 (1984).
10. Pécseli, H. L., Rasmussen, J. J. and Thomsen, K., Plasma Phys. Contr. Fusion 27, 837 (1985).
11. Huld, T., Iizuka, S., Pécseli, H. L. and Rasmussen, J. J., Plasma Phys. Contr. Fusion 30, 1297 (1988).
12. Huld, T., Nielsen, A. H., Pécseli, H. L. and Rasmussen, J. J., Phys. Fluids B3, 1609 (1991).
13. Nielsen, A. H., Pécseli, H. L. and Rasmussen, J. J., Ann. Geophys. 10, 655 (1992).
14. Mikhailovskii, A. B., "Theory of Plasma Instabilities," Vol. 2 (Moscow, Atomizdat, 1971).
15. Wang, Z., Pritchett P. L. and Ashour-Abdalla, M., Phys. Fluids. B4, 1092 (1992).
16. Zhdanov, S. K. and Prudkoi, Yu. V., Fizika plasmi 19, 433 (1993).
17. Lindqvist, P. A., Marklund, G. T. and Blomberg, L. G., Space Sci. Rev. 70, 593 (1994).
18. Temerin, M., Woldorff, M. and Mozer, S. F., Phys. Rev. Lett. 43, 1941 (1979).
19. Wu, D. J., Yu, D. Y. and Falthammar, C. G., Phys. Plasmas, 2, 4467 (1995).
20. Wu, D. J., Huang, G. L., Yu, D. Y. and Falthammar, C. G., Phys. Plasmas 3, 2879 (1996).
21. Holback, B. et al., Space Sci. Rev. 70, 577 (1994).
22. Michael, D. H., Proc. Camb. Phil. Soc. 51, 528 (1955).
23. Chandrasekhar, S., "Hydrodynamic and Hydromagnetic Stability," (Clarendon Press, Oxford, 1961).
24. Drazin, P. G., J. Fluid Mech. 42, 321 (1970).
25. Nayfeh, A. H. and Saric, W. S., J. Fluid Mech. 46, 209 (1971).
26. Weissman, M. A., Phil. Trans. R. Soc. Lond. A290, 639 (1979).
27. Kant, R. S. and Malik, S. K., Astrophys. Space Sci. 86, 345 (1982).
28. Malik, S. K. and Singh, M., Astrophys. Space Sci. 109, 231 (1985).
29. Zakharov, V. E. and Shabat, A. B., Soviet Phys. JETP 43, 62 (1972).
30. Khater, A. H., Callebaut, D. K. and El-Kalaawy, O. H., Il Nuovo Cimento 103B, 1121 (1998).
31. Zakharov, V. E. and Synakh, S., Soviet Phys. JETP 41, 465 (1975).
32. Zakharov, V. E., Soviet Phys. JETP 14, 908 (1972).
33. Gibbon, J. D. and McGuinness, M. J., Phys. Lett. 77A, 118 (1980).
34. Singh, M., Khosla, H. K. and Malik, S. K., J. Plasma Phys. 59, 27 (1998).
35. Hirota, R., in "Bäcklund Transformations" (Edited by R. Bullough and P. Caudret) (Springer-Verlag, Berlin), p. 157 (1980).
36. Coffey, M., SIAM J. Appl. Math. 50, 1580 (1990).
37. Kudryashov, N., Phys. Lett. A155, 269 (1991).
38. Hereman, W. and Takaoka, M., J. Phys. A: Math. Gen. 23, 4805 (1990).
39. Jeffrey, A. and Mohammad, M., Wave Motion 14, 369 (1990).
40. Jeffrey, A. and Xu, S., Wave Motion 11, 559 (1989).
41. Nayfeh, A. H., "Perturbation Methods," (Wiley-Interscience Publication, New York, 1973).
42. Pusri, A. and Malik, S. K., J. Plasma Phys. 53, 145 (1995).
43. Berge, L., Phys. Lett. 189A, 290 (1994).
44. Berkshire, F. H. and Gibbon, J. D., Stud. Appl. Maths. 69, 229 (1983).
45. Rasmussen, J. J. and Rypdal, K., Physica Scripta 33, 481 (1986).
46. Khater, A. H., Callebaut, D. K., Malfliet, W. and Seadawy, A. R., Physica Scripta 64, 533 (2001).