Effects of streaming and attachment coefficients of ions and electrons on the formation of soliton in a dusty plasma

On the existence of ion-acoustic solitary waves in a gravitating dusty plasma having charge fluctuation

“…In Sect. 3, the solutions of ion-acoustic solitary waves are obtained which generalized the results obtained by Paul et al [27] for a self gravitating dusty plasma having dust charge fluctuations. In Sect.…”

“…It is observed that nonlinear excitations follow a coupled third-order partial differential equation which is slightly different from the usual case of coupled Korteweg-de Vries (K-dV) system. It appears that the system so deduced is a two-component generalization of the previous one derived by Paul et al (1999) in which it was shown that ion-acoustic solitary waves can not exist in such system.…”

“…Various authors [19][20][21][22][23][24][25][26] have investigated the ion acoustic solitary waves and shocks in unmagetised and magnetized plasma. But, most interesting results were obtained by Paul et al [27] in which it was shown that the attachment co-efficient have salient features on the existence of solitary waves in dusty plasma. It is worthwhile to mention that fascinating results are obtained on the propagation ion acoustic waves in a dusty plasma considering the gravitational effect.…”

Negative and positive dust grain effect on the modulation instability of an intense laser propagating in a hot magnetoplasma

“…One of these interests is the study of interaction of laser with dusty plasmas and its related linear and nonlinear effects. These effects include wave dissipation [18], modulation and filamentation instabilities [19][20][21][22], linear and nonlinear wave propagation [18,[23][24][25][26][27][28][29][30][31], parametric instabilities [32], self-focusing [18,33], etc. Moreover, interaction of laser with dusty plasmas has some important industrial applications.…”

Nonlinear Ion-Acoustic Waves in Gravitating Dusty Plasma with Non-Isothermal Electrons and Fluctuating Dust Charges

“…and the parameter β is dened as β = T ef /T et , (12) in which T ef is the temperature for the free electrons and T et is the temperature for the trapped electrons. The parameter β determines the nature of the distribution function giving a plateau if β = 0 and a dip if β < 0 and a hump if β > 0. β = 1 corresponds to Maxwellian distribution.…”