Head—on collision of nonlinear dust—acoustic solitary waves in dusty plasmas with dust of opposite polarities

El‐Labany, S. K.; El-Shamy, E. F.; El-Eneen, M. Abu

doi:10.1007/s10509-011-0846-z

Cited by 20 publications

(26 citation statements)

References 25 publications

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“…[50,51]. Let us study the effects of quasielastic oblique collision of two solitons S 1 and S 2 in the present multicomponent magnetized plasma.…”

Section: Governing Equations and Oblique Collision Of Two Iaswsmentioning

confidence: 99%

“…Equation (14) represents two-side travelling Korteweg de Vries (KdV) wave equations in the reference frames of ξ and η, respectively, where their solutions are (12) are not secular terms in this order, but they would generate secular behaviours in the next orders [50,51]. Therefore, they must vanish to control the equations of the phase shifts…”

Section: Governing Equations and Oblique Collision Of Two Iaswsmentioning

confidence: 99%

“…The interesting features of the collision between solitary waves are now well known: when two solitary waves approach closely, they interact, exchange their energies and positions with each other and then scatter, regaining their original wave forms [50,51]. During the oblique collision process, the solitary waves are remarkably stable entities, preserving their identities; the collision changes the phase shift only.…”

Section: Introductionmentioning

confidence: 99%

“…We will focus our attention studying the oblique collision of two IASWs based on evaluating their phase shifts and trajectories after an oblique collision occurs. It may be worth mentioning that in one-dimensional systems there are two distinct types of the solitary wave collisions; overtaking and head-on [49][50][51]. The overtaking collision of solitary waves (where the angle between the two solitary waves propagation directions δ vanishes) can be studied by the inverse scattering transformation method [52].…”

Section: Introductionmentioning

confidence: 99%

“…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%

See 4 more Smart Citations

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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“…[50,51]. Let us study the effects of quasielastic oblique collision of two solitons S 1 and S 2 in the present multicomponent magnetized plasma.…”

Section: Governing Equations and Oblique Collision Of Two Iaswsmentioning

confidence: 99%

Section: Governing Equations and Oblique Collision Of Two Iaswsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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Interaction phenomena and effect of higher order dispersion on electron acoustic solitary waves in weakly relativistic regimes

Alam

Talukder

2019

Contributions to Plasma Physics

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The interaction phenomena of electron acoustic solitary waves (EASWs) and the higher order correction of Korteweg-de Vries (KdV) equations (KdVEs) have investigated in unmagnetized collisionless plasma system consisting of relativistic cold electrons and electron beams, non-relativistic Maxwellian hot electrons and stationary ions. To understand the physical issues concerned, the two-sided KdVEs using extended Poincaré-Lighthill-Kue (ePLK) method are derived taking the higher order correction into consideration. The analyses reveal that the widths and amplitudes of EASWs (as obtain from KdVEs) are decreasing with plasma parameters. The plasma parameters are responsible for the modification of KdV-soliton structure. It is found that the narrowness of width and the steepness of dip of the solitons become more pronounced and the electric field behaves like semi-kink solitons due to the higher order correction of KdVEs. Dip shape rarefactive soliton becomes pronounced by plasma parameters. The phase shifts of EASWs are also enhanced due to the effects of plasma species temperatures and density ratios. K E Y W O R D SEASWs, ePLK method, higher order correction, relativistic cold electrons, weakly relativistic regime

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Consequence of head‐on collision and double‐layer soliton with linear analysis in multi‐component dusty plasmas

Imon,

Alam

2023

Contrib. Plasma Phys

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The unmagnetized multicomponent collisional dusty plasmas have been considered to investigate the consequence of head‐on collision of dust‐ion‐acoustic waves (DIAWs) with nonlinear characteristic analysis of DIAWs and collisionless plasmas have been considered for studying the production of double layer (DL). The plasma system consists of positively charged ion fluid, negatively charged cold dust fluid, thermal electrons, q‐nonextensive electrons, and immobile background neutral particles. The extended Poincaré‐Lighthill‐Kuo (ePLK) method has been used to derive two‐sided damped Korteweg–De Vries (dKdV) equations and the reductive perturbation method has been used to derive modified KdV (mKdV) equation and the standard Gardner equation (SGE). Linear dispersion relation is derived using linear perturbation technique. The nonlinear propagation of DIA Gardner solitons (DIAGSs) and double layers (DLs) as well as phase shifts have been investigated for the effects of the concerned parameters. It is found that the DIA soliton structures are significantly modified by the species densities, dust mass, and superextensive parameter. The rarefactive dip shape solitary Gardner solitons become produced for the effects of concerned parameters and the positive (negative) DLs become produced in the range of () for the effect of temperatures on the species. The superextensive and the subextensive parameters of electrons significantly affect the DL soliton structures.

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Head—on collision of nonlinear dust—acoustic solitary waves in dusty plasmas with dust of opposite polarities

Cited by 20 publications

References 25 publications

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

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

Interaction phenomena and effect of higher order dispersion on electron acoustic solitary waves in weakly relativistic regimes

Consequence of head‐on collision and double‐layer soliton with linear analysis in multi‐component dusty plasmas

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