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

Teoman Özer*

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19 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 dilİngilizce
Sayfa (başlangıç-bitiş)241-254
Sayfa sayısı14
DergiMechanics Research Communications
Hacim32
Basın numarası3
DOI'lar
Yayın durumuYayınlandı - 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.

FinansörlerFinansör numarası
NATO-TÜBİTAK
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

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