On symmetry group properties and general similarity forms of the Benney equations in the Lagrangian variables

Teoman Özer*

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20 Atıf (Scopus)

Özet

In the present study, we investigate the symmetry groups of Benney equations in Lagrangian variables in the form of the system of the nonlinear integro-differential equations. We obtain the Lie point symmetries by using the invariance criterion for a specific type of integro-differential equation and find some reduced forms that have fewer independent variables by using the symmetry groups.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)297-313
Sayfa sayısı17
DergiJournal of Computational and Applied Mathematics
Hacim169
Basın numarası2
DOI'lar
Yayın durumuYayınlandı - 15 Ağu 2004
Harici olarak yayınlandıEvet

Finansman

This research is a part of author's postdoctoral studies completed during his appointment at Massachusetts Institute of Technology, Department of Mechanical Engineering, 2000–2003 and it was supported in part by NATO-TÜBİTAK (The Scientific and Technical Research Council of Turkey) fellowship. In addition, the author would like to thank the reviewers for their valuable comments that helped him to improve the present paper. In particularly, one of the reviewers pointed out an important remark related to the symmetry groups in the first version of the paper.

FinansörlerFinansör numarası
NATO-TÜBİTAK
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

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