Symmetry group analysis of Benney system and an application for shallow-water equations

Teoman Özer

doi:10.1016/j.mechrescom.2004.10.002

Symmetry group analysis of Benney system and an application for shallow-water equations

Teoman Özer^*

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

Massachusetts Institute of Technology

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

22 Atıf (Scopus)

Özet

In this study we analyze symmetry group properties of the Benney system in the Eulerian description, which is in the form of the system of the coupled nonlinear integro-differential equations. We, first, find symmetry groups and obtain reduced forms, and then seek some similarity solutions to the reduced forms of the Benney equations. In addition, it is shown that one may transform solutions of the reduced forms of the Benney system into solutions of the reduced form of the one-dimensional shallow-water equations.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	241-254
Sayfa sayısı	14
Dergi	Mechanics Research Communications
Hacim	32
Basın numarası	3
DOI'lar	https://doi.org/10.1016/j.mechrescom.2004.10.002
Yayın durumu	Yayınlandı - May 2005

Finansman

This research is a part of author’s postdoctoral studies completed during his appointment at Massachusetts Institute of Technology, Department of Mechanical Engineering, USA, 2000–2003. It was partly supported by the NATO-TÜBİTAK (The Scientific and Technical Research Council of Turkey) fellowship. In addition, the author would like to thank the referees for their valuable comments that helped him to improve the paper.

Finansörler	Finansör numarası
NATO-TÜBİTAK
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Belgeye Erişim

10.1016/j.mechrescom.2004.10.002

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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abstract = "In this study we analyze symmetry group properties of the Benney system in the Eulerian description, which is in the form of the system of the coupled nonlinear integro-differential equations. We, first, find symmetry groups and obtain reduced forms, and then seek some similarity solutions to the reduced forms of the Benney equations. In addition, it is shown that one may transform solutions of the reduced forms of the Benney system into solutions of the reduced form of the one-dimensional shallow-water equations.",

keywords = "Benney equations, Integro-differential equations, Lie point symmetries, Shallow-water equations, Similarity solutions, Symmetry groups",

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

year = "2005",

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doi = "10.1016/j.mechrescom.2004.10.002",

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AU - Özer, Teoman

PY - 2005/5

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N2 - In this study we analyze symmetry group properties of the Benney system in the Eulerian description, which is in the form of the system of the coupled nonlinear integro-differential equations. We, first, find symmetry groups and obtain reduced forms, and then seek some similarity solutions to the reduced forms of the Benney equations. In addition, it is shown that one may transform solutions of the reduced forms of the Benney system into solutions of the reduced form of the one-dimensional shallow-water equations.

AB - In this study we analyze symmetry group properties of the Benney system in the Eulerian description, which is in the form of the system of the coupled nonlinear integro-differential equations. We, first, find symmetry groups and obtain reduced forms, and then seek some similarity solutions to the reduced forms of the Benney equations. In addition, it is shown that one may transform solutions of the reduced forms of the Benney system into solutions of the reduced form of the one-dimensional shallow-water equations.

KW - Benney equations

KW - Integro-differential equations

KW - Lie point symmetries

KW - Shallow-water equations

KW - Similarity solutions

KW - Symmetry groups

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U2 - 10.1016/j.mechrescom.2004.10.002

DO - 10.1016/j.mechrescom.2004.10.002

M3 - Article

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SN - 0093-6413

VL - 32

SP - 241

EP - 254

JO - Mechanics Research Communications

JF - Mechanics Research Communications

IS - 3

ER -

Symmetry group analysis of Benney system and an application for shallow-water equations

Özet

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap