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 dil | İngilizce |
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Sayfa (başlangıç-bitiş) | 297-313 |
Sayfa sayısı | 17 |
Dergi | Journal of Computational and Applied Mathematics |
Hacim | 169 |
Basın numarası | 2 |
DOI'lar | |
Yayın durumu | Yayınlandı - 15 Ağu 2004 |
Harici olarak yayınlandı | Evet |
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.
Finansörler | Finansör numarası |
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NATO-TÜBİTAK | |
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu |