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Effects of higher-order nonlinearity and finite geometry on the propagation of KdV solitons

Published online by Cambridge University Press:  13 March 2009

B. Ghosh  and
K. P. Das
B. Ghosh
Affiliation:
Department of Physics, R.K. Mission Vidyamandir Belur Math, Howrah 711 202, India
K. P. Das
Affiliation:
Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Calcutta 700 009, India
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Abstract

Using reductive perturbation theory and a planar waveguide geometry, the effects of higher-order nonlinearity and finite boundaries on the propagation of electron plasma and ion-acoustic KdV solitons are investigated by taking into account finite electron and ion temperatures. For an electron plasma wave, the higher-order nonlinearity is found to increase the amplitude of the soliton and slightly decrease the width of the soliton compared with that predicted by the first-order theory. For an ion-acoustic wave the higher-order-nonlinearity and finite-boundary effects give rise to a W-shaped soliton.

Type
Research Article
Information
Journal of Plasma Physics , Volume 40 , Issue 3 , December 1988 , pp. 545 - 552
Copyright
Copyright © Cambridge University Press 1988

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References

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