Abstract

The propagation of planar and nonplanar electron-acoustic waves composed of stationary ions, cold electrons, superthermal hot electrons, and positrons is studied by using Korteweg–de Vries (KdV) equation in the planar and nonplanar coordinates. The analytical and numerical solutions of KdV equation reveal that the nonplanar electron-acoustic solitons are modified significantly with positron concentration and behave differently in different geometries. It is found that the positron concentration β and positron temperature σ have a negative effect on the wave potential and width of the wave, there is a decrease in the amplitude as well as width of the wave. Thus, it is noticed that the strength of the wave decreases with the growing values of β and σ. From the examination, it is discovered that this increase in height and steepness is more articulated in the spherical geometry than in the cylindrical one. The strength of the wave grows with increment of superthermal particles (low value of κ). There is also an increase in the width of the solitary wave with decreasing the value of κ, which is in agreement with the results of [1]. Further, it is noticed that the spherical wave moves faster than cylindrical waves. This difference arises due to the presence of the geometry term \(m{\text{/}}2\tau \), whose value becomes zero in the planar case (\(m = 0\)), \(1{\text{/}}(2\tau )\) in the cylindrical and \(2{\text{/}}2\tau \) in the spherical case. Results of our work may be helpful in analyses of the physical behaviour of solitary waves features in different astrophysical and space environments like the supernovas, polar regions and in the vicinity of black holes.

中文翻译：

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正电子存在下的平面和非平面电子声孤立波

摘要

通过在平面坐标和非平面坐标中使用Korteweg-de Vries（KdV）方程研究了由固定离子，冷电子，过热热电子和正电子组成的平面和非平面电子声波的传播。KdV方程的解析解和数值解表明，非平面电子声孤子会随着正电子浓度的显着变化而变化，并且在不同的几何形状下表现不同。发现正电子浓度β和正电子温度σ对波的电势和波宽度具有负面影响，波的振幅和宽度均减小。因此，注意到波的强度随着β和σ的值的增大而减小。从考试来看 已经发现，这种高度和陡度的增加在球形几何形状中比在圆柱形几何形状中更加明显。波的强度随着过热粒子（κ值较低）的增加而增长。孤波宽度也随着κ值的减小而增加，这与[1]的结果是一致的。此外，注意到球形波比圆柱形波移动得更快。这种差异是由于几何项的存在而产生的 注意到球形波的移动速度比圆柱形波快。这种差异是由于几何项的存在而产生的 注意到球形波的移动速度比圆柱形波快。这种差异是由于几何项的存在而产生的\（m {\ text {/}} 2 \ tau \），其值在平面情况下（\（m = 0 \）），\（1 {\ text {/}}（2 \ tau）\ ）放在圆柱中，\（2 {\ text {/}} 2 \ tau \）在球形情况下。我们的工作结果可能有助于分析不同天体物理和空间环境（例如超新星，极区和黑洞附近）中孤立波特征的物理行为。