Dynamical aspects of various solitary waves and double layers in dusty plasmas

Abstract

Employing quasipotential analysis, the Sagdeev potential equation has been derived in a multicomponent plasma consisting of free and trapped electrons and contaminated by the dust charged grains forming therein by the attachment of electrons to finite-size dust particles. Because of the free and trapped electrons in the dusty plasma, the plasma-acoustic wave exhibits the different features of various solitary waves. The Sagdeev potential equation, at a small-amplitude approximation, leads to the evaluation, by a proposed new formalism of a simple wave solution technique, of the new scenario of solitary wave propagation in a dusty plasma. It has been shown that the ordering of the nonisothermality in the dusty plasma also plays a unique role. In the case of a plasma with first-order nonisothermality, the Sagdeev potential equation derives the compressive solitary wave propagation, while for plasma with higher-order nonisothermality the method might fail to solve the Sagdeev potential equation and, thus, an alternate method is used to reveal the coexistence of compressive and rarefactive solitary waves. In addition, for certain plasma parameters, the solitary waves disappear and a double layer is expected. Again, with the better approximation in the Sagdeev potential, more features of solitary waves, known as spiky and explosive, along with the double layers, are also highlighted. The observations made of the solitary waves could be of further interest in the understanding of laboratory and space plasmas.

Dust ion-acoustic solitary and shock waves in a dusty plasma with non-thermal electrons

“…Extensive work has been devoted to the study of nonlinear waves associated with the DIA waves, particularly the DIA solitary and shock waves in dusty plasmas in which dust particles are stationary and provide only the neutrality (Das et al 2001(Das et al , 2009Mamun and Shukla 2002b;Ghosh and Bharuthram 2008;Das et al 1998). Actually, this view point may not be a realistic situation in space and laboratory devices because the charge on the dust particles varies with time and space.…”

Sagdeev’s approach to study the effect of the kinematic viscosity on the dust ion-acoustic solitary waves in dusty plasma

“…[19][20][21][22] Studies on solitary waves and double layers in dusty plasma have also been made by a number of workers. [1][2][3][4][5][6][7][8][9][10][11] Nonlinear structures such as solitary waves and shock waves in dusty plasma have been observed in the laboratory especially in condensed plasmas 23 and colloidal suspension. 24 Now the two normal modes of unmagnetized and weakly coupled dusty plasmas are the following: One is the dust acoustic mode ͑DAW͒ and the other is the dust ion-acoustic wave ͑DIAW͒.…”

“…During the last two decades a lot of interest has been shown [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] in the study of dusty plasmas. The motivation for studying dusty plasma is the following.…”

Obliquely propagating shock-like structures and nonlinear solitary holes in weakly relativistic magneto-plasma

“…(6); this term comes entirely from the nonlinear coefficient C. It is important to note that both solitary hole and shock-like structure solutions require that the trapping parameter be negative ðb < À0:71Þ and are the nonlinear extensions of the ion acoustic wave [23], whose linear dispersion relation is given by …”