Effect of obliqueness and external magnetic field on the characteristics of dust acoustic solitary waves in dusty plasma with two-temperature nonthermal ions

Abstract

In this paper, a theoretical investigation has been made of obliquely propagating dust acoustic solitary wave (DASW) structures in a cold magnetized dusty plasma consisting of a negatively charged dust fluid, electrons, and two different types of nonthermal ions. The Zakharov-Kuznetsov (ZK) and modified Zakharov-Kuznetsov (MZK) equations, describing the small but finite amplitude DASWs, are derived using a reductive perturbation method. The combined effects of the external magnetic field, obliqueness (i.e. the propagation angle), and the presence of second component of nonthermal ions, which are found to significantly modify the basic features (viz. amplitude, width, polarity) of DASWs, are explicitly examined. The results show that the external magnetic field, the propagation angle, and the second component of nonthermal ions have strong effects on the properties of dust acoustic solitary structures. The solitary waves may become associated with either positive potential or negative potential in this model. As the angle between the direction of external magnetic field and the propagation direction of solitary wave increases, the amplitude of the solitary wave (for both positive potential and negative potential) increases. With changing this angle, the width of solitary wave shows a maximum. The magnitude of the external magnetic field has no direct effect on the solitary wave amplitude. However, with decreasing the strength of magnetic field, the width of DASW increases.

Multi-dimensional instability of dust-ion-acoustic solitary structure with opposite polarity ions and non-thermal electrons

“…It is also clear from this figure that the external magnetic field leads to a decrease in the potential width, i.e., a stronger magnetic field leads to steeper and thus narrower soliton profiles. Similar observations are found in the work of Haider [5] and the work of Sabetkar and Dorranian [11,12,14] while studying the DIA and DA SWs with the presence of magnetic field. The width of the SWs is lower for positive dust grains than for negative dust grains, thus the positive dust grains makes the soliton profile more steeper.…”

“…Larger particles are found to be negatively charged and smaller ones are positively charged [20]. These opposite polarity ions and opposite polarity dusts [10][11][12][13][14] can significantly modify the basic properties of linear and nonlinear DIA SWs and DA SWs. The anomalous dissipation in complex plasmas, which originates from the dust charging process, makes possible the existence of a new kind of shock wave [21][22][23][24][25].…”

“…Very recently many authors have studied the nonlinear propagation of ion-acoustic (IA) solitary waves (SWs) [1][2][3][4] dust-ion-acoustic (DIA) SWs [5][6][7][8][9], dust-acoustic (DA) SWs [10][11][12][13][14] in a multi-ion plasmas, as negative ions can be found in space [15,16] and laboratory [17][18][19] as well as positive ions. In multi-ion plasmas, there exist fast and slow mode.…”

A study on dust acoustic traveling wave solutions and quasiperiodic route to chaos in nonthermal magnetoplasmas

“…Tomar et al [18] studied the reflection of ion acoustic soliton in an inhomogeneous dusty plasma having two temperature electrons. Sabetkar and Dorranian [19] investigated the effect of obliqueness and external magnetic field on the characteristics of dust acoustic solitary waves in dusty plasma with two temperature nonthermal ions. El-Hanbaly et al [20] studied the propagation of linear and nonlinear dust acoustic waves in a homogeneous unmagnetized, collisionless and dissipative dusty plasma consisted of extremely massive, micron-sized, negative dust grains.…”

Korteweg–deVries–Burgers (KdVB) equation in a five component cometary plasma with kappa described electrons and ions

“…Early studies on nonlinear wave propagation in four component dusty plasmas were by Sakanaka and Spassovska [27] and Verheest [28]. Various aspects of dust acoustic waves have been considered in the studies by several authors [29][30][31][32][33][34][35][36]. Other nonlinear electrostatic waves have been considered by Ghosh et al [37,38] and Dutta et al [39].…”