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How can one solve exactly some problems in plasma theory

Published online by Cambridge University Press:  26 September 2005

ALEXANDER E. DUBINOV  and
IRINA D. DUBINOVA
ALEXANDER E. DUBINOV
Affiliation:
Russian Federal Nuclear Center, Sarov, 607188, Russia ([email protected])
IRINA D. DUBINOVA
Affiliation:
Russian Federal Nuclear Center, Sarov, 607188, Russia ([email protected])
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Abstract

A review of a technique for the application of a new Lambert $W$ function for solving transcendental equations arising in classical problems of plasma and electron beam theories is presented, and the basic mathematical properties of the Lambert $W$ function are outlined. The problems discussed include equilibrium electric charge of a solitary body in plasma, nonlinear ion-acoustic waves, the equilibrium configuration of a neutralized electric beam, the dynamics of shaping virtual cathodes in a medium with viscous friction, and the study of the dispersion equation for electron plasma waves in the framework of generalized Boltzmann kinetics.

Type
Papers
Information
Journal of Plasma Physics , Volume 71 , Issue 5 , October 2005 , pp. 715 - 728
Copyright
2005 Cambridge University Press

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