Head-on collision of ion-acoustic solitary and shock waves in a two-electron-temperature plasma

Carbonaro, P.

doi:10.1140/epjd/e2012-30315-x

Cited by 17 publications

(9 citation statements)

References 36 publications

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“…[33][34][35] For the very reason, the collision of two nonlinear waves is a subject of great interest. [36][37][38][39] Generally, when two solitary waves propagate in one-dimensional medium, they can undergo two kinds of interaction. 40 One is overtaking, occurring when the two move in the same direction with different speeds, and the other is the head-on collision which modifies the trajectories of motion, occurring when the two propagate in opposite directions.…”

Section: Introductionmentioning

confidence: 99%

Particle-in-cell simulation of the head-on collision between two ion acoustic solitary waves in plasmas

Duan

et al. 2014

Physics of Plasmas

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The head-on collision of two ion acoustic solitary waves in plasmas composed of hot electrons and cold ions has been studied by using the Poincare-Lighthill-Kuo (PLK) perturbation method and one-dimensional Particle-in-Cell (PIC) simulation. Then the phase lags of ion acoustic solitary waves (IASWs) obtained from the two approaches have been compared and discussed. It has been found that: if the amplitudes of both the colliding IASWs are small enough, the phase lags obtained from PLK method are in good agreement with those obtained from PIC simulation. As the amplitudes of IASWs increase, the phase lags from PIC simulation become smaller than the analytical ones from PLK method. Besides, the PIC simulation shows the phase lag of an IASW involved in collision depends not only on the characteristics of the wave it collides with but also on itself, which disagrees with the prediction of the PLK method. Finally, the application scopes of the PLK method in studying both the single IASW and the head-on collisions of IASWs have been studied and discussed, and the latter turns out to be more strict.

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Section: Introductionmentioning

confidence: 99%

Particle-in-cell simulation of the head-on collision between two ion acoustic solitary waves in plasmas

Duan

et al. 2014

Physics of Plasmas

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“…We assumed small amplitude ion acoustic shocks so that the counter traveling shocks interact quasi elastically. To analyze shocks waves interaction by following the extended PLK method in the cited literature [65,66], the stretching of independent variables (space and time coordinates) are introduced as [67]…”

Section: Shock Waves Collision Dynamicsmentioning

confidence: 99%

Numerical solution and characteristic study of time-fractional shocks collision

Shakeel¹,

Parveen²,

Islam³

et al. 2021

Phys. Scr.

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In this study, the interaction of counter-propagating ion acoustic shock waves in three-component unmagnetized plasmas with inertial warm ions, superthermal electrons and positrons are examined. By employing the extended Poincare-Lighthill-Kuo (PLK) method, two-sided Korteweg-deVries-Burgers (KdVB) equations and their corresponding phase shifts for the shock wave are also derived. The derived two-sided KdVB equations are converted to two-sided time-fractional KdVB (TFKdVB) equations by semi inverse method, which is then solved numerically by a local meshless method (LMM). The effects of the ratio of electron temperature to positron temperature, the spectral index κ e , κ p and fractional concentration of positron component p on the phase shift are also examined. Figures are given to judge the performance of the LMM. Comparison is made with the exact solution for the classical case (i.e. ρ = 1) and with Petrov-Galerkin method (PGM) in case of fractional derivative. The influence of the fractional parameter on the behaviour of ion acoustic shock wave in e-p-i plasma is investigated.

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“…Ideally, we expect that the collision will be quasielastic, so the collision will only result in a change of trajectory or phase shift for each colliding wave. In order to obtain the basic results to analyze the collision process, we employ an extended Poincaré-LighthillKuo (PLK) perturbation method (Chatterjee et al 2010;Verheest 2012;Carbonaro 2012;El-Tantawy and Djebarni 2014;Han et al 2014b). According to this method, first we introduce the stretched coordinates…”

Section: Derivation Of the Mkdv Equation And Phase Change Equationmentioning

confidence: 99%

Nonlinear nature of composite structure induced by the interaction of nonplanar solitons in a nonextensive plasma

Han

Luo

Liu

et al. 2015

Astrophys Space Sci

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The nonlinear properties of composite structure induced by the head-on collision of electron-acoustic solitons in a general plasma composed of cold fluid electrons, hot nonextensive distributed electron, and stationary ions are studied. We have made a detailed investigation on the timeevolution process of this merged wave structure. It is found that the structure survives during some time interval, and there are obviously different for the properties of the composite structures which are induced in cylindrical and spherical geometries. Moreover, it is shown that there are both positive and negative phase shifts for each colliding soliton after the interaction. For fixed plasma parameters, the soliton received the largest phase shift in spherical geometry, followed by the cylindrical and one-dimensional planar geometries.

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Head-on collision of ion-acoustic solitary and shock waves in a two-electron-temperature plasma

Cited by 17 publications

References 36 publications

Particle-in-cell simulation of the head-on collision between two ion acoustic solitary waves in plasmas

Particle-in-cell simulation of the head-on collision between two ion acoustic solitary waves in plasmas

Numerical solution and characteristic study of time-fractional shocks collision

Nonlinear nature of composite structure induced by the interaction of nonplanar solitons in a nonextensive plasma

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