Solitary wave structures in presence of nonisothermal ions in a dusty plasma

Abstract

The nonlinear properties of solitary wave structures in the presence of non-isothermal ions, electrons, and charged dust grains are reported. The modification in the amplitude and the width of the solitary wave structures due to the inclusion of the effects of reflected ions and charged dust grains are investigated.

Effects of two-temperature electrons, external oblique magnetic field, and higher-order nonlinearity on dust acoustic solitary waves in a dusty plasma with vortex-like ion distribution

“…B 0 is the magnitude of the magnetic field. The nonlinear dynamics of one-dimensional DA solitary waves is governed by (Kakati and Goswami 1998;, 2007 …”

“…Recently, the study of dusty plasma has received a great deal of interest in understanding many space and astrophysical phenomena (Mendis 2002;El-Labany et al 2006) as well as for many industrial and physical applications (Bouchoule 1999). Several authors have investigated the propagation of linear and nonlinear waves in dusty plasmas (Mamun et al 1996;Kakati and Goswami 1998;Ghosh et al 2001;Wen-Shan 2002;El-Labany and El-Shamy 2005). One of these waves is the dust acoustic (DA) wave.…”

“…He demonstrated that, due to the existence of the trapped ions, the DA solitary waves have larger amplitude, smaller width and higher propagation velocity than those involving adiabatic ions. Kakati and Goswami (1998) investigated the nonlinear properties of solitary waves structure in an unmagnetized dusty plasma consisting of nonisothermal ions, isothermal electrons and variable-charged dust grains. They showed that variation of dust charge and reflected ions modify the amplitude and width of solitary waves.…”

Effects of dust temperature and trapped ions on the formation of dust-acoustic solitary waves

“…Clearly, there is a departure from the Boltzmann ion distribution and one encounters the vortex-like ion distribution in the phase space. It is well known that such ion behavior drastically modifies the conditions for the existence of nonlinear structures such as solitons and shocks, which are not observed in dusty plasma with isothermal ions [12][13][14][15][16][17]. Most of the studies discussed up to now are restricted to theoretical investigations on soliton dynamics in a dusty plasma with cold dust grains in the frame work of the modified KdV equation using the reductive perturbation method.…”

Coherent structures in presence of dust charge fluctuations

“…Under this situation the grain charge becomes a time dependent and self-consistent variable. The consequent modifications in the collective properties of a dusty plasma in response to the variation of charge is studied [4][5].…”