# Article

Plasma Investigations
2005. V. 43. № 4. P. 479–485
Alekseev B.V., Dubinov A.E., Dubinova I.D.
Analytical and Numerical Solutions of Generalized Dispersion Equations for One-Dimensional Damped Plasma Oscillation
Annotation
Analytical and numerical solutions of dispersion equations describing one-dimensional unsteady-state propagation of perturbation of electric field are derived within the framework of generalized Boltzmann physical kinetics. The solution in the Landau form is defined as a decaying harmonic wave in plasma of electrons with Maxwellian distribution and quiescent ions. The analytical solution of the problem is represented in terms of the Lambert $W$ function. Numerical solutions of the problem are found in a wide range of variation of determining parameters.
Article reference:
Alekseev B.V., Dubinov A.E., Dubinova I.D. Analytical and Numerical Solutions of Generalized Dispersion Equations for One-Dimensional Damped Plasma Oscillation, High Temp., 2005. V. 43. № 4. P. 479