Electron acoustic soliton energy of the Kadomtsev-Petviashvili equation in the Earth’s magnetotail region at critical ion density

S.A. Elwakil, A.M. El-hanbaly, E.K. El-Shewy, I.S Elkamash

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The nonlinear properties of small amplitude electron-acoustic solitary waves (EAWs) in a homogeneous system of unmagnetized collisionless plasma consisted of a cold electron fluid and isothermal ions with two different temperatures obeying Boltzmann type distributions have been investigated. A reductive perturbation method was employed to obtain the Kadomstev-Petviashvili (KP) equation. At the critical ion density, the KP equation is not appropriate for describing the system. Hence, a new set of stretched coordinates
is considered to derive the modified KP equation. Moreover, the solitary solution, soliton energy and the associated electric field at the critical ion density were computed. The present investigation can be of relevance to the electrostatic solitary structures observed in various space plasma environments, such as Earth’s magnetotail region.
Original languageEnglish
Pages (from-to)197-203
JournalAstrophysics and Space Science
Volume349
Issue number1
Early online date11 Oct 2013
DOIs
Publication statusPublished - Jan 2014

Keywords

  • Electron-acoustic solitary waves · Reductive perturbation · Kadomstev-Petviashvili (KP) equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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