TIME EVOLUTION OF A SOLITON IN PLASMA
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Published:
Apr 5, 2018
Keywords:
Solitons Plasmas Spectral Method
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Abstract
Spectral method is applied to study the time evolution of a solitary wave solution of the Korteweg-de Vries (KdV) equation which describes the ion-acoustic wave in plasma media. The numerical result of the head-on collision between 2 solitons also shows the coherent structure of these kind of waves.
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Academic Article
References
Chen, F.F. 1984. Introduction to Plasma Physics and Controlled Fusion 2nd ed., New York: Plenum Press.
Korteweg, DJ. & de Vries, G. 1895. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves, Phil. Mag., 5 (39), 422-443.
Press, W.H., Teukolsky, S.A., Vetterling, W. and Flannery, B.P. 1992. P. 496, Numerical Recipes in C, 2nd ed., Cambridge: Cambridge University Press, UK.
Russell, J.S. 1844. Report on waves, 14th meeting of the British Association for the Advancement of Science, London: John Murray, 311-91.
Washimi, H. and Taniuti, T. 1966.Propagation of ion-acoustic solitary waves of small amplitude, Phys. Rev. Lett, 17, 996-8.
Zabusky, NJ. and Kruskal, MD. 1965. Interaction of solitons in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett., 15(6), 240-3.
Korteweg, DJ. & de Vries, G. 1895. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves, Phil. Mag., 5 (39), 422-443.
Press, W.H., Teukolsky, S.A., Vetterling, W. and Flannery, B.P. 1992. P. 496, Numerical Recipes in C, 2nd ed., Cambridge: Cambridge University Press, UK.
Russell, J.S. 1844. Report on waves, 14th meeting of the British Association for the Advancement of Science, London: John Murray, 311-91.
Washimi, H. and Taniuti, T. 1966.Propagation of ion-acoustic solitary waves of small amplitude, Phys. Rev. Lett, 17, 996-8.
Zabusky, NJ. and Kruskal, MD. 1965. Interaction of solitons in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett., 15(6), 240-3.