Invariant solutions of integro-differential Vlasov-Maxwell equations in Lagrangian variables by Lie group analysis

Farshad Rezvan, Teoman Özer*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The Lie point symmetries of the Vlasov-Maxwell system in Lagrangian variables are investigated by using a direct method for symmetry group analysis of integro-differential equations, with emphasis on solving nonlocal determining equations. All similarity reduction forms for the system are obtained by using different approaches and some analytical and numerical solutions are presented.

Original languageEnglish
Pages (from-to)3412-3437
Number of pages26
JournalComputers and Mathematics with Applications
Volume59
Issue number11
DOIs
Publication statusPublished - Jun 2010

Keywords

  • Integro-differential equations
  • Lie point symmetries
  • Optimal system
  • Reduction forms

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