The effect of q-distributed electrons on the head-on collision of ion acoustic solitary waves

Ghosh, Uday Narayan; Chatterjee, Prasanta; Roychoudhury, Rajkumar

doi:10.1063/1.3675603

Cited by 69 publications

(48 citation statements)

References 60 publications

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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%

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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%

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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“…In other words, the generalized entropy of the whole is greater than the sum of the entropies of the parts if q\1 (superextensivity), whereas the generalized entropy of the system is smaller than the sum of the entropies of the parts if q [ 1 (subextensivity). In accordance with the evidences found earlier [40][41][42][43][44][45][46][47][48][49][50][51][52], the q-entropy may provide a convenient frame for the analysis of many astrophysical scenarios, such as stellar poly tropes, solar neutrino problem, and peculiar velocity distribution of galaxy cluster. To study all possible astrophysical scenarios, it is wise to follow the nonextensive distribution.…”

Section: Introductionmentioning

confidence: 53%

Dynamic structures of nonlinear ion acoustic waves in a nonextensive electron–positron–ion plasma

et al. 2015

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The dynamic structures of ion acoustic waves in an unmagnetized plasma with q-nonextensive electrons and positrons are investigated applying the bifurcation theory of planar dynamical systems through direct approach. Model equations are transformed to a planar dynamical system using a traveling wave transformation. Using the bifurcations of planar dynamical system, the existence of solitary and periodic waves is shown. We have obtained new analytical forms for solitary and periodic waves depending on parameters p; q; r and v. Considering an external periodic perturbation, the chaotic behavior of nonlinear ion acoustic waves is presented. Depending upon different regimes of the nonextensive parameter q, the effect of q is shown on chaotic motions of ion acoustic waves with fixed values of other parameters p; r and v. It is seen that the unperturbed system has the solitary and periodic wave solutions, but the perturbed dynamical system has chaotic motions for same values of parameters p; q; r and v.

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The effect of q-distributed electrons on the head-on collision of ion acoustic solitary waves

Cited by 69 publications

References 60 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

Dynamic structures of nonlinear ion acoustic waves in a nonextensive electron–positron–ion plasma

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