4 papers
Two-Ion Dusty Plasma Waves and Landau Damping
B. Atamaniuk, K. Zuchowski
The paper analyses the properties of dusty plasmas in the extreme conditions when the free electrons are absent. The nonlinear Korteveg de Vries equation with a nonlocal (integral)…
Non-Linear Phenomena in Dusty Plasmas
A. J. Turski, B. Atamaniuk, E. Turska
The main objective of the paper is to determine asymptotic solutions to the initial-value conditions for Vlasov-Ampere/Gauss system of equations that is to find the "far field" sol…
Charge Fluctuation of Dust Grains and its Impact on Dusty Wave Propagation
Barbara Atamaniuk, Krzysztof Zuchowski
In this paper we consider the influence of dust charge fluctuations on damping of the dust-ion-acoustic waves. Fluid approximation of longitudinal electrostatic waves in unmagnetiz…
Fractional Derivative Analysis of Helmholtz and Paraxial-Wave Equations
A. J. Turski, B. Atamaniuk, E. Turska
Fundamental rules and definitions of Fractional Differintegrals are outlined. Factorizing 1-D and 2-D Helmholtz equations four fractional eigenfunctions are determined. The functio…