On the dynamics of nonlinear propagation and interaction of the modified KP solitons in multicomponent complex plasmas

IF 13 1区 工程技术 Q1 ENGINEERING, MARINE
Muhammad Shohaib , W. Masood , R. Jahangir , M. Siddiq , Sadah A. Alkhateeb , S.A. El-Tantawy
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引用次数: 16

Abstract

Dust-acoustic waves (DAWs) are analyzed in the small amplitude limit in a collisionless unmagnetized dusty plasma whose constituents are inertial dust grains, massless ions expressed by the generalized (r,q) distribution and inertialess Maxwellian electrons using the fluid theory of plasmas. The modified Kadomtsev-Petviashvili (mKP) equation is derived at a critical plasma condition for which the quadratic nonlinearity vanishes. The propagation of single soliton and interaction of two solitons are analyzed for the mKP equation in the context of plasma physics by employing Hirota bilinear formalism. The effects of the flatness parameter r and tail parameter q of the ions on the frequency of the DAWs are studied and the comparison with Maxwellian and kappa distributions is drawn. Using the plasma parameters corresponding to the Saturn’s E-ring, the range of electric field amplitude for dust-acoustic solitary waves (DASWs) for different ion distributions is calculated and is shown to agree very well with the Cassini Wideband Receiver (WBR) observations. The interaction time of two DASWs for non-Maxwellian ion distributions is estimated and shown to be fastest for the (r,q) distributed ions. The interesting feature of the interaction between compressive solitons with their rarefactive counterparts is also discussed in detail.

修正KP孤子在多组分复杂等离子体中的非线性传播动力学与相互作用
用等离子体流体理论分析了由惯性尘埃颗粒、广义(r,q)分布表示的无质量离子和无惯性麦克斯韦电子组成的无碰撞非磁化尘埃等离子体中的小振幅声波。在二次非线性消失的临界等离子体条件下,导出了修正Kadomtsev-Petviashvili (mKP)方程。利用Hirota双线性形式分析了等离子体物理背景下的mKP方程中单孤子的传播和两个孤子的相互作用。研究了离子的平整度参数r和尾形参数q对daw频率的影响,并与麦克斯韦分布和kappa分布进行了比较。利用与土星e环相对应的等离子体参数,计算了不同离子分布下尘声孤波(DASWs)的电场振幅范围,结果与卡西尼宽频带接收器(WBR)的观测结果非常吻合。估计了非麦克斯韦离子分布下两个DASWs的相互作用时间,并表明(r,q)分布离子的相互作用时间最快。本文还详细讨论了压缩孤子与稀薄孤子相互作用的有趣特征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
11.50
自引率
19.70%
发文量
224
审稿时长
29 days
期刊介绍: The Journal of Ocean Engineering and Science (JOES) serves as a platform for disseminating original research and advancements in the realm of ocean engineering and science. JOES encourages the submission of papers covering various aspects of ocean engineering and science.
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