Propagation of dust acoustic solitary waves in an adiabatic dusty plasma in presence of polarization force effect

Mahmoud Ahmed Hassan Khalid
Department of Physics, Faculty of Education, Al-Mahweet, Sana’a
University

Abstract:

The propagation of dust acoustic (DA) solitary waves in
two-dimension dusty plasma containing adiabatic electrons
and ions and negatively charged dust fluid has been
investigated by considering a new expression for the
polarization force effect. The Kadomstev–Petviashvili (KP)
equation is derived by using reductive perturbation technique.
The stability analysis is discussed for the existence of DA
solitary waves. The expression for the energy of DA solitary
waves has been derived as well. The effects of the adiabaticity
of electrons-ions, ion temperature, electrons-to-ions density
ratio and polarization force on the basic properties of the DA
solitary waves have been investigated. It is shown that the
effects of adiabaticity, ion temperature and polarization force
significantly modify the basic properties (amplitude, width and
speed) of the DA solitary waves. It is also shown that the
soliton energy is increased with the increase of adiabatic
index but decreased with the increase of polarization force.
Keywords: Adiabatic dusty plasma; Kadomtsev–Petviashvili
equation; polarization force; Solitary wave solution.