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Obliquely propagating ion-acoustic nonlinear periodic waves in a magnetized plasma with two electron species

Published online by Cambridge University Press:  13 March 2009

L. L. Yadav ,
R. S. Tiwari  and
S. R. Sharma
L. L. Yadav
Affiliation:
Department of Physics, University of Rajasthan, Jaipur 302 004, India
R. S. Tiwari
Affiliation:
Department of Physics, University of Rajasthan, Jaipur 302 004, India
S. R. Sharma
Affiliation:
Department of Physics, University of Rajasthan, Jaipur 302 004, India
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Abstract

Obliquely propagating ion-acoustic nonlinear periodic waves in a magnetized plasma consisting of warm adiabatic ions and two Maxwellian electron species are studied. Using the reductive perturbation method, the Korteweg–de Vries (KdV) equation is derived and its cnoidal wave solution is discussed. It is found that as the amplitude of the cnoidal wave increases, so does its frequency. The effects of variations in the density and temperature ratios of the two electron species, the ion temperature, the angle of obliqueness and the magnetization on the characteristics of the cnoidal wave are discussed in detail. When the coefficient of the nonlinear term of the KdV equation, a1, vanishes, the modified Korteweg–de Vries equation is derived, and its periodic-wave solutions are discussed in detail. In the limiting case these periodic-wave solutions reduce to soliton or double-layer solutions.

Type
Research Article
Information
Journal of Plasma Physics , Volume 51 , Issue 3 , June 1994 , pp. 355 - 370
Copyright
Copyright © Cambridge University Press 1994

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