The group-theoretical analysis of nonlocal Benney equation

Teoman Özer

doi:10.1016/S0034-4877(07)00021-3

The group-theoretical analysis of nonlocal Benney equation

Teoman Özer^*

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

4 Atıf (Scopus)

Özet

This study deals with the symmetry group analysis of the nonlinear and nonlocal Benney equation in hydrodynamics. The generalization of the invariance criterion for the integro- differential equations is used to calculate the Lie point symmetries. Furthermore, the solution technique for nonlocal determining equations is introduced. The optimal system, reduced equations and similarity solutions are discussed.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	13-37
Sayfa sayısı	25
Dergi	Reports on Mathematical Physics
Hacim	60
Basın numarası	1
DOI'lar	https://doi.org/10.1016/S0034-4877(07)00021-3
Yayın durumu	Yayınlandı - Ağu 2007

Belgeye Erişim

10.1016/S0034-4877(07)00021-3

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "The group-theoretical analysis of nonlocal Benney equation",

abstract = "This study deals with the symmetry group analysis of the nonlinear and nonlocal Benney equation in hydrodynamics. The generalization of the invariance criterion for the integro- differential equations is used to calculate the Lie point symmetries. Furthermore, the solution technique for nonlocal determining equations is introduced. The optimal system, reduced equations and similarity solutions are discussed.",

keywords = "equations, Lie algebra, nonlinear and nonlocal, nonlocal Benney equation, similarity solutions, symmetry groups",

author = "Teoman {\"O}zer",

year = "2007",

month = aug,

doi = "10.1016/S0034-4877(07)00021-3",

language = "English",

volume = "60",

pages = "13--37",

journal = "Reports on Mathematical Physics",

issn = "0034-4877",

publisher = "Elsevier Ltd",

number = "1",

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T1 - The group-theoretical analysis of nonlocal Benney equation

AU - Özer, Teoman

PY - 2007/8

Y1 - 2007/8

N2 - This study deals with the symmetry group analysis of the nonlinear and nonlocal Benney equation in hydrodynamics. The generalization of the invariance criterion for the integro- differential equations is used to calculate the Lie point symmetries. Furthermore, the solution technique for nonlocal determining equations is introduced. The optimal system, reduced equations and similarity solutions are discussed.

AB - This study deals with the symmetry group analysis of the nonlinear and nonlocal Benney equation in hydrodynamics. The generalization of the invariance criterion for the integro- differential equations is used to calculate the Lie point symmetries. Furthermore, the solution technique for nonlocal determining equations is introduced. The optimal system, reduced equations and similarity solutions are discussed.

KW - equations

KW - Lie algebra

KW - nonlinear and nonlocal

KW - nonlocal Benney equation

KW - similarity solutions

KW - symmetry groups

UR - https://www.scopus.com/pages/publications/35748964745

U2 - 10.1016/S0034-4877(07)00021-3

DO - 10.1016/S0034-4877(07)00021-3

M3 - Article

AN - SCOPUS:35748964745

SN - 0034-4877

VL - 60

SP - 13

EP - 37

JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

IS - 1

ER -

The group-theoretical analysis of nonlocal Benney equation

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

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Alıntı Yap