Head-on Collision of Ion-acoustic Multi-Solitons in e-p-i Plasma

Roy, Kaushik; Ghorui, Malay Kumar; Chatterjee, Prasanta; Tribeche, Mouloud

doi:10.1088/0253-6102/65/2/237

Cited by 28 publications

(13 citation statements)

References 39 publications

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“…are, respectively, the amplitudes and the phase shifts of two single OIIASs due to the overtaking collisions. Furthermore, Equation (38) indicates that we are dealing with two single OIIASs moving in the same direction. Besides, we can use the same strategy to examine the overtaking collision between the three-OIIAS solution.…”

Section: N-soliton Collisionmentioning

confidence: 99%

“…where For t >> 1, the solution is asymptotically reduced to a superposition of the three single-OIIAS solutions as [26,27,38,48]…”

Section: N-soliton Collisionmentioning

confidence: 99%

“…Obviously, from Equation (40), we are dealing with three single OIIASs, each of them moving in the same direction. Moreover, k 1 , k 2 , and k 2 are the wavenumbers, which define the amplitude and polarity of the two and the three OIIASs in Equations (38) and (40), respectively, and in the linear dispersion relation.…”

Section: N-soliton Collisionmentioning

confidence: 99%

“…For t > > 1, the solution is asymptotically reduced to a superposition of the three single‐OIIAS solutions as [ 26,27,38,48 ]

{normalΦ}_{1}^{(1)} \approx \sum_{i = 1}^{3} {normalφ}_{normali}^{(0)} {sech}^{2} [\frac{k_{i}}{2 {normalB}^{1 / 3}} false(x - {normalB}^{1 / 3} {normalk}_{1}^{2} t + {normalΓ}_{normali} false)],

where

{normalφ}_{normali}^{(0)} false(= 3 {normalB}^{1 / 3} {normalk}_{normali}^{2} / A false)

are the amplitudes, and Γ 1 = ± (2B 1/3 /k 1 )ln|φ 123 /φ 23 |, Γ 2 = ± (2B 1/3 /k 2 )ln|φ 123 /φ 31 |, and Γ 3 = ± (2B 1/3 /k 3 )ln|φ 123 /φ 12 | are the phase shifts due to the overtaking collisions of three single OIIASs. Obviously, from Equation (40), we are dealing with three single OIIASs, each of them moving in the same direction.…”

Section: N‐soliton Collisionmentioning

confidence: 99%

“…They found that the larger soliton moves faster and approaches the smaller ones, and after the overtaking collision, both resume their original shape and speed. Roy et al [ 38 ] obtained the phase shift due to the overtaking collision of ion‐acoustic multisolitons. They showed that the phase shift slightly decreases as the positron‐to‐electron density ratio increases.…”

Section: Introductionmentioning

confidence: 99%

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Overtaking collisions of oblique isothermal ion‐acoustic multisolitons in ultra‐relativistic degenerate dense magnetoplasmas

El-Shamy

Selim

El-Depsy

et al. 2020

Contributions to Plasma Physics

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Overtaking collisions of oblique isothermal ion-acoustic multisolitons are studied in an ultra-relativistic degenerate dense magnetoplasma, containing non-degenerate inertial warm ions and ultra-relativistic degenerate inertialess electrons and positrons. A non-linear Korteweg-de Vries (KdV) equation describing oblique isothermal ion-acoustic solitons (OIIASs) in such a plasma model is derived. By applying Hirota's bilinear method (HBM), the overtaking collisions of oblique isothermal ion-acoustic multisoliton solutions are investigated. An in-depth discussion shows that the amplitude, the width, and the phase shift of isothermal ion-acoustic multisolitons increase as the obliqueness and the chemical potential of electrons increase. The deviation of the trajectories decreases with increasing concentration of fermions and the ion cyclotron frequency. The present finding of this study is applicable in compact objects, such as white dwarfs and neutron stars, having degenerate ultra-relativistic dense electrons and positrons.

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Section: N-soliton Collisionmentioning

confidence: 99%

“…where For t >> 1, the solution is asymptotically reduced to a superposition of the three single-OIIAS solutions as [26,27,38,48]…”

Section: N-soliton Collisionmentioning

confidence: 99%