How can one solve exactly some problems in plasma theory

ALEXANDER E. DUBINOV; IRINA D. DUBINOVA

doi:10.1017/S0022377805003788

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.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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How can one solve exactly some problems in plasma theory

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