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

Farshad Rezvan; Teoman Özer

doi:10.1016/j.camwa.2010.03.029

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

Farshad Rezvan, Teoman Özer^*

^*Corresponding author for this work

Department of Civil Engineering

University of Tabriz

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	3412-3437
Number of pages	26
Journal	Computers and Mathematics with Applications
Volume	59
Issue number	11
DOIs	https://doi.org/10.1016/j.camwa.2010.03.029
Publication status	Published - Jun 2010

Keywords

Integro-differential equations
Lie point symmetries
Optimal system
Reduction forms

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10.1016/j.camwa.2010.03.029

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

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.",

keywords = "Integro-differential equations, Lie point symmetries, Optimal system, Reduction forms",

author = "Farshad Rezvan and Teoman {\"O}zer",

year = "2010",

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doi = "10.1016/j.camwa.2010.03.029",

language = "English",

volume = "59",

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journal = "Computers and Mathematics with Applications",

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TY - JOUR

T1 - Invariant solutions of integro-differential Vlasov-Maxwell equations in Lagrangian variables by Lie group analysis

AU - Rezvan, Farshad

AU - Özer, Teoman

PY - 2010/6

Y1 - 2010/6

N2 - 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.

AB - 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.

KW - Integro-differential equations

KW - Lie point symmetries

KW - Optimal system

KW - Reduction forms

UR - https://www.scopus.com/pages/publications/77953134033

U2 - 10.1016/j.camwa.2010.03.029

DO - 10.1016/j.camwa.2010.03.029

M3 - Article

AN - SCOPUS:77953134033

SN - 0898-1221

VL - 59

SP - 3412

EP - 3437

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 11

ER -

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

Abstract

Keywords

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