Poincaré analysis of non-linear electromagnetic modes in electron-positron plasmas

V. Saxena; I. Kourakis

Poincaré analysis of non-linear electromagnetic modes in electron-positron plasmas

V. Saxena
, I. Kourakis

Mathematics

Queen's University Belfast

Research output: Contribution to conference › Paper › peer-review

Abstract

We present an investigation of coupled nonlinear electromagnetic modes in an electron-positron plasma by using the well established technique of Poincare surface of section plots. A variety of nonlinear solutions corresponding to interesting coupled electrostatic-electromagnetic modes sustainable in electron-positron plasmas is shown on the Poincare section. A special class of localized solitary wave solution is identified along a separatrix curve and its importance in the context of electromagnetic wave propagation in an electron-positron plasma is discussed.

Original language	British English
Pages	553-556
Number of pages	4
State	Published - 2012
Event	5th International Conference on Chaotic Modeling and Simulation, CHAOS 2012 - Athens, Greece Duration: 12 Jun 2012 → 15 Jun 2012

Conference

Conference	5th International Conference on Chaotic Modeling and Simulation, CHAOS 2012
Country/Territory	Greece
City	Athens
Period	12/06/12 → 15/06/12

Keywords

Electron-positron plasma
Poicare section
Solitary

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title = "Poincar{\'e} analysis of non-linear electromagnetic modes in electron-positron plasmas",

abstract = "We present an investigation of coupled nonlinear electromagnetic modes in an electron-positron plasma by using the well established technique of Poincare surface of section plots. A variety of nonlinear solutions corresponding to interesting coupled electrostatic-electromagnetic modes sustainable in electron-positron plasmas is shown on the Poincare section. A special class of localized solitary wave solution is identified along a separatrix curve and its importance in the context of electromagnetic wave propagation in an electron-positron plasma is discussed.",

keywords = "Electron-positron plasma, Poicare section, Solitary",

author = "V. Saxena and I. Kourakis",

note = "Funding Information: The authors gratefully acknowledge funding from the UK EPSRC (Engineering Council) via grant EP/I031766/1 (VS) and also (IK) via grant EP/D06337X/1. Funding Information: The authors gratefully acknowledge funding from the UK EPSRC (Engineering and Physical Science Research Council) via grant EP/I031766/1 (VS) and also (IK) via grant EP/D06337X/1. Publisher Copyright: {\textcopyright} 2012 5th Chaotic Modeling and Simulation International Conference All Rights Reserved; 5th International Conference on Chaotic Modeling and Simulation, CHAOS 2012 ; Conference date: 12-06-2012 Through 15-06-2012",

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T1 - Poincaré analysis of non-linear electromagnetic modes in electron-positron plasmas

AU - Saxena, V.

AU - Kourakis, I.

N1 - Funding Information: The authors gratefully acknowledge funding from the UK EPSRC (Engineering Council) via grant EP/I031766/1 (VS) and also (IK) via grant EP/D06337X/1. Funding Information: The authors gratefully acknowledge funding from the UK EPSRC (Engineering and Physical Science Research Council) via grant EP/I031766/1 (VS) and also (IK) via grant EP/D06337X/1. Publisher Copyright: © 2012 5th Chaotic Modeling and Simulation International Conference All Rights Reserved

PY - 2012

Y1 - 2012

N2 - We present an investigation of coupled nonlinear electromagnetic modes in an electron-positron plasma by using the well established technique of Poincare surface of section plots. A variety of nonlinear solutions corresponding to interesting coupled electrostatic-electromagnetic modes sustainable in electron-positron plasmas is shown on the Poincare section. A special class of localized solitary wave solution is identified along a separatrix curve and its importance in the context of electromagnetic wave propagation in an electron-positron plasma is discussed.

AB - We present an investigation of coupled nonlinear electromagnetic modes in an electron-positron plasma by using the well established technique of Poincare surface of section plots. A variety of nonlinear solutions corresponding to interesting coupled electrostatic-electromagnetic modes sustainable in electron-positron plasmas is shown on the Poincare section. A special class of localized solitary wave solution is identified along a separatrix curve and its importance in the context of electromagnetic wave propagation in an electron-positron plasma is discussed.

KW - Electron-positron plasma

KW - Poicare section

KW - Solitary

UR - https://www.scopus.com/pages/publications/85072398463

M3 - Paper

AN - SCOPUS:85072398463

SP - 553

EP - 556

T2 - 5th International Conference on Chaotic Modeling and Simulation, CHAOS 2012

Y2 - 12 June 2012 through 15 June 2012

ER -

Poincaré analysis of non-linear electromagnetic modes in electron-positron plasmas

Abstract

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Keywords

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