TITLE:
Ion-Acoustic Higher Order Non-Linear Structures in Quantum Dusty Plasma
AUTHORS:
Md Manir Hossain, Monirul Hasan, Md A saduzzaman, Md Mahfuzul Haque
KEYWORDS:
Negative Dust; Quantum Plasma; Fermi Electron; Modified K-dV Equation; Gardner Solitons; RPM
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.11,
November
28,
2013
ABSTRACT: The prominent features of higher order nonlinear ion-acoustic waves
involving quantum corrections in an unmagnetized quantum dusty plasma are
revisited with the theoretical framework of Hossain et al. [1]. The fluid model is demonstrated here by its constituent
inertial ions, Fermi electrons with quantum effect, and immovable dust grain
with negative charge. We have used the ideology of Gardner equation. The well-known
RPM method is employed to derive the equation. Indeed, the basic features of
quantum dust ion-acoustic Gardner solitons (GSs) are pronounced here. GSs are
shown to exist for the value of dust to ion ratio around 2/3 which
is valid for space plasma [2], and are different from those of K-dV
(Korteweg-de Vries) solitons, which do not exist for the value around 2/3. The
implications of our results are suitable for cosmological and astrophysical
environments.