Head-on collision of ion acoustic solitary waves in an electron-positron-ion plasma with superthermal electrons

Chatterjee, Prasanta; Ghosh, Uday Narayan; Roy, Kaushik; Muniandy, S. V.; Wong, C. S.; Sahu, Biswajit

doi:10.1063/1.3528544

Cited by 109 publications

(53 citation statements)

References 49 publications

(59 reference statements)

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“…This is sometimes assumed ab initio [3,4,6,8,[10][11][12][13][14][15], or explicitly proven at lowest order [5]. As to the type of acoustic waves studied, one finds dust-acoustic [3,10,12], dust-ion-acoustic [11], ion-acoustic [4][5][6][7][8][9]13] and electron-acoustic modes [14,15].…”

Section: Introductionmentioning

confidence: 99%

“…In recent years there has been much interest in the problem of head-on collisions of acoustic solitary waves in various multispecies plasmas, for parallel [3][4][5][6][7][8][9][10][11][12][13][14][15] or oblique [16][17][18][19] propagation with respect to a static magnetic field. The papers quoted represent a typical selection of recent papers, without any claim at being exhaustive.…”

Section: Introductionmentioning

confidence: 99%

“…The inertial species are usually cold [3][4][5][7][8][9][10][11][12][13][14][15], polytropic [6], sometimes in the presence of a neutralizing background [11,14,15], while the hot species can have Boltzmann [3-6, 9, 10, 12], Cairns nonthermal [10], kappa superthermal [7], Tsallis nonextensive [9,13,14] or quantum distributions [8,11,15]. Even dust charge fluctuations are sometimes included [3].…”

Section: Introductionmentioning

confidence: 99%

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Head-on collisions of electrostatic solitons in nonthermal plasmas

2012

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In contrast to overtaking interactions, head-on collisions between two electrostatic solitons can only be dealt with by an approximate method, which limits the range of validity but offers valuable insights. Treatments in the plasma physics literature all use assumptions in the stretching of space and time and in the expansion of the dependent variables that are seldom if ever discussed. All models force a separability to lowest order, corresponding to two linear waves with opposite but equally large velocities. A systematic exposition of the underlying hypotheses is illustrated by considering a plasma composed of cold ions and nonthermal electrons. This is general enough to yield critical compositions that lead to modified rather than standard Korteweg-de Vries equations, an aspect not discussed so far. The nonlinear evolution equations for both solitons and their phase shifts due to the collision are established. A Korteweg-de Vries description is the generic conclusion, except when the plasma composition is critical, rendering the nonlinearity in the evolution equations cubic, with concomitant repercussions on the phase shifts. In the latter case, the solitons can have either polarity, so that combinations of negative and positive solitons can occur, contrary to the generic case, where both solitons necessarily have the same polarity.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Head-on collisions of electrostatic solitons in nonthermal plasmas

2012

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“…Because the plasma particles in many cases show deviation from Maxwell-Boltzmann distribution then the physical velocity distributions can be characterized by a non-Maxwellian distribution function specially in a high energy tail (Chatterjee et al, 2010;Choi et al, 2011). As a generalization of the Maxwell-Boltzmann distribution, we introduce Kappa (superthermal) distribution function that describes the superthermal particles.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Electron Acoustic Waves in Dissipative Plasma with Superthermal Electrons

Elhanbaly¹,

El-Shewy²,

Kassem³

et al. 2016

APR

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The nonlinear properties of small amplitude electron-acoustic ( EA) solitary and shock waves in a homogeneous system of unmagnetized collisionless plasma consisted of a cold electron fluid and superthermal hot electrons obeying superthermal distribution, and stationary ions have been investigated. A reductive perturbation method was employed to obtain the Kadomstev-Petviashvili-Burgers (KP-Brugers) equation. Some solutions of physical interest are obtained. These solutions are related to soliton, monotonic and oscillatory shock waves and their behaviour are shown graphically. The formation of these solutions depends crucially on the value of the Burgers term and the plasma parameters as well. By using the tangent hyperbolic (tanh) method, another interesting type of solution which is a combination between shock and soliton waves is obtained . The topology of phase portrait and potential diagram of the KP-Brugers equation is investigated.The advantage of using this method is that one can predict different classes of the travelling wave solutions according to different phase orbits. The obtained results may be helpful in better understanding of waves propagation in various space plasma environments as well as in inertial confinement fusion laboratory plasmas.

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“…Recently numerous investigations have been made to observe the head-on collision of two, electron-acoustic [10][11], DA [12][13], DIA [14][15], IA [16][17] solitary waves. Few theoretical investigations have already been made by some researcher on magnetized as well as un magnetized quantum plasmas.…”

Section: Introductionmentioning

confidence: 99%

Conservation law and exact solutions for ion acoustic waves in a magnetized quantum plasma

El-Kalaawy

Ibrahim

Sadek

2016

IJAMR

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The head on collision of ion-acoustic solitary waves (IASWs) in a magnetized plasma are considered. The two-sides Korteweg-de Vries (KdV) equations in generic case as well as the two-sides modified Korteweg-de Vries (mKdV) equations in a special case are obtained. The analytical phase shifts and the trajectories after the Head-on collisions of two IASWs in a three species quantum plasma are derived by using the extended version of Poincaré-Lighthill-Kuo (PLK) method for both the situations. The conservation laws for KdV and mKdV equations are obtained. By applying the extended direct algebraic method, we found the traveling wave solutions for the two-sides KdV and mKdV equations.

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Head-on collision of ion acoustic solitary waves in an electron-positron-ion plasma with superthermal electrons

Cited by 109 publications

References 49 publications

Head-on collisions of electrostatic solitons in nonthermal plasmas

Head-on collisions of electrostatic solitons in nonthermal plasmas

Nonlinear Electron Acoustic Waves in Dissipative Plasma with Superthermal Electrons

Conservation law and exact solutions for ion acoustic waves in a magnetized quantum plasma

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