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^*

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

University of Tabriz

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

4 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	3412-3437
Sayfa sayısı	26
Dergi	Computers and Mathematics with Applications
Hacim	59
Basın numarası	11
DOI'lar	https://doi.org/10.1016/j.camwa.2010.03.029
Yayın durumu	Yayınlandı - Haz 2010

Belgeye Erişim

10.1016/j.camwa.2010.03.029

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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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",

month = jun,

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

language = "English",

volume = "59",

pages = "3412--3437",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

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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 - http://www.scopus.com/inward/record.url?scp=77953134033&partnerID=8YFLogxK

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

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap