Soliton reflection in a plasma with trapped electrons: The effect of dust concentration

Kumar, Ravinder; Malik, Hitendra K.; Kawata, Shigeo

doi:10.1016/j.physd.2010.09.006

Cited by 12 publications

(10 citation statements)

References 41 publications

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“…Contrary to our observation in e-p plasma, Tiwari and Mishra (2006) noticed that the amplitude and width of soliton increase with the increasing concentration of negatively charged dust grains n d0 and charge number Z d in a plasma consisting of hot isothermal electrons, cold ions, and negatively charged oscillating dust grains. The increase in the soliton amplitude with negative dust concentration in our case is similar to the observation made in a plasma having trapped electrons in the presence of dust concentration (Kumar et al 2011). This result is also similar to the experimental observation on the dusty plasma without trapped electrons (Nakamura and Sarma 2001).…”

Section: Resultssupporting

confidence: 90%

Unperturbed state and solitary structures in an electron-positron plasma having dust impurity and density inhomogeneity

Malik

2014

J. Plasma Phys.

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An electron-positron pair plasma having dust impurity and density non-uniformity is studied for its unperturbed state and evolution of solitary structures under the effect of either positively charged or negatively charged dust grains. Zeroth-order equations are solved to examine the unperturbed state of the plasma via unperturbed potential φ 0 , drift velocities of the electrons and positrons (v e0 and v p0 ), and plasma (positron) density gradient n p0η . It is observed that the dust distribution affects the gradient n p0η significantly, which increases very sharply with a small increment in the dust density gradient n d0η . With relation to the solitary structures, a modified form of Korteweg-deVries equation (mKdV equation) is realized in the said plasma, which reveals that a tailing structure is associated with the soliton (sech 2 structure). This tail is less prominent in the present pair plasma, contrary to the observation made in ordinary plasmas having only ions and electrons. The dust impurity is found to influence the solitary structure much significantly and its presence suppresses the rarefactive solitons, which are generally observed in multi-component species plasmas.

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Section: Resultssupporting

confidence: 90%

Unperturbed state and solitary structures in an electron-positron plasma having dust impurity and density inhomogeneity

Malik

2014

J. Plasma Phys.

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“…Kuehl investigated theoretically the reflection of ion acoustic soliton, and showed that a shelf develops behind the soliton and the reflected wave is small compared with both trailing shelf and soliton amplitude decrease due to energy transfer to the shelf [17][18][19]. Then after, many authors took the problem of soliton propagation in inhomogeneous plasma in different physical situations like plasma with finite ion temperature [20,21], with negative ions [22][23][24][25], with dust [26] and trapped electrons [27], in magnetic field [28,29], with non isothermal electrons [30], with ionization [31,32], with electron inertia contribution [33] and also in other contexts [16,34,35].…”

Section: Introductionmentioning

confidence: 99%

Bending of solitons in weak and slowly varying inhomogeneous plasma

2015

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Bending of solitons in two dimensional plane is presented in the presence of weak and slowly varying inhomogeneous ion density for the propagation of ion acoustic soliton in unmagnetized cold plasma with isothermal electrons. Using reductive perturbation technique, a modified Kadomtsev-Petviashvili equation is obtained with a chosen unperturbed ion density profile. Exact solution of the equation shows that the phase of the solitary wave gets modified by a function related to the unperturbed inhomogeneous ion density causing the soliton to bend in the two dimensional plane, whereas the amplitude of the soliton remaining constant.

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“…Moreover, during the last few decades, DA waves have been investigated by a number of authors [3][4][5][6]. Much research has been conducted in the field of solitons in plasmas that have two-temperature electrons (trapped and isothermal), both in uniform and nonuniform plasmas, in addition to plasmas that have twotemperature ions [7][8][9][10][11][12]. In the case of the density gradient, the solitons are found to reflect, and their reflection properties are drastically modified by the presence of dust grains [13,14].…”

Section: Introductionmentioning

confidence: 99%

Role of superthermality on dust acoustic structures in the frame of a modified Zakharov–Kuznetsov equation in magnetized dusty plasma

Sabetkar

Dorranian

2015

Phys. Scr.

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In this paper, a theoretical investigation is presented to study the existence and characteristics of the propagation of dust acoustic (DA) waves in an obliquely propagating magnetized dusty plasma with two populations of ions having two distinct temperatures, electrons that are modeled by three-dimensional nonextensive and κ-distribution functions, respectively, and negative dust particles. Normal mode analysis (reductive perturbation method) is used to derive lower-and higher-order nonlinear equations governing the evolution of small but finite amplitude DA waves, namely the Zakharov-Kuznetsov (ZK) and the modified Zakharov-Kuznetsov (mZK) equations. The basic features (e.g., amplitude, width, phase speed, polarity) of both DA ZK and mZK solitons have been thoroughly examined by the numerical analysis of their equations. It is observed that the characteristics and properties of the DA solitary waves (DASWs) are significantly modified by the superthermality of electrons, nonextensivity of ions, cold-to-hot ion temperature ratio, relative number densities of two species of ions, and the strength of the magnetic field and obliqueness of the system. Furthermore, it has been found that the DA ZK solitons exhibit only negative polarity of solitary waves when the superthermality of electrons, nonextensivity of ions, and temperature ratio of ions are smaller or greater than their critical values. The present study may add to the understanding of the nonlinear propagation features of DA wave structures in high-energy astrophysical plasma systems.

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Soliton reflection in a plasma with trapped electrons: The effect of dust concentration

Cited by 12 publications

References 41 publications

Unperturbed state and solitary structures in an electron-positron plasma having dust impurity and density inhomogeneity

Unperturbed state and solitary structures in an electron-positron plasma having dust impurity and density inhomogeneity

Bending of solitons in weak and slowly varying inhomogeneous plasma

Role of superthermality on dust acoustic structures in the frame of a modified Zakharov–Kuznetsov equation in magnetized dusty plasma

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