How can one solve exactly some problems in plasma theory

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 TV function are Outlined. The problems discussed include equilibrium electric body in plasma, nonlinear ion-acoustic waves, the electric charge of a, solitary body equilibrium cofiguration 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.