Interactions of nonlinear ion-acoustic waves in a collisionless plasma

Demı́ray, Hilmi

doi:10.1016/j.cam.2006.08.026

Cited by 22 publications

(24 citation statements)

References 10 publications

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“…This is all fine as long as A only has one definite sign, as is the case for the original description of shallow water waves [2] or of ion-acoustic solitons in simple electron-ion plasmas [4]. In both these physical situations, A > 0 and the nonlinear modes are compressive, showing density and/or electrostatic potential humps.…”

Section: Introductionmentioning

confidence: 99%

“…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%

“…For instance, choices made in imposing the stretching of the space and time coordinates, and the expansion of the dependent variables, hide assumptions that are not spelt out. Among the restrictions which are assumed by almost all cited authors, but not explicitly motivated, is that while the stretching for the co-moving coordinates starts in a smallness parameter ε, the perturbations in the dependent variables start at quadratic order [3, 5-8, 10-13, 15], except when an equivalent ordering in ε 1/2 and ε is chosen [4]. The only exceptions are where the expansions in the dependent variables are also assumed to start at order ε [9,14].…”

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%

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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%

Section: Introductionmentioning

confidence: 99%

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Head-on collisions of electrostatic solitons in nonthermal plasmas

2012

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“…In the head-on collision, this angle δ is π. The latter type have been investigated using the extended Poincaré-Lighthill-Kuo (EPLK) method [50,51,[53][54][55][56]. Indeed, what cannot be ignored is, the one-dimensional geometry may not be the realistic situation in laboratory devices and/or in space.…”

Section: Introductionmentioning

confidence: 99%

The collisions of two ion acoustic solitary waves in a magnetized nonextensive plasma

El-Shamy¹,

Tribeche

El-Taibany³

2014

Open Physics

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Abstract:Using the extended Poincaré-Lighthill-Kuo (EPLK) method, the interaction between two ion acoustic solitary waves (IASWs) in a multicomponent magnetized plasma (including Tsallis nonextensive electrons) has been theoretically investigated. The analytical phase shifts of the two solitary waves after interaction are estimated. The proposed model leads to rarefactive solitons only. The effects of colliding angle, ratio of number densities of (positive/negative) ions species to the density of nonextensive electrons, ion-to-electron temperature ratio, mass ratio of the negative-to-positive ions and the electron nonextensive parameter on the phase shifts are investigated numerically. The present results show that these parameters have strong effects on the phase shifts and trajectories of the two IASWs after collision. Evidently, this model is helpful for interpreting the propagation and the oblique collision of IASWs in magnetized multicomponent plasma experiments and space observations.

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Comment on “Head-on collision of electron acoustic solitary waves in a plasma with nonextensive hot electrons”

Verheest

2012

Astrophys Space Sci

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Interactions of nonlinear ion-acoustic waves in a collisionless plasma

Cited by 22 publications

References 10 publications

Head-on collisions of electrostatic solitons in nonthermal plasmas

Head-on collisions of electrostatic solitons in nonthermal plasmas

The collisions of two ion acoustic solitary waves in a magnetized nonextensive plasma

Comment on “Head-on collision of electron acoustic solitary waves in a plasma with nonextensive hot electrons”

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