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

Teoman Özer*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)297-313
Number of pages17
JournalJournal of Computational and Applied Mathematics
Volume169
Issue number2
DOIs
Publication statusPublished - 15 Aug 2004
Externally publishedYes

Funding

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.

FundersFunder number
NATO-TÜBİTAK
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

    Keywords

    • Benney equations in Lagrangian variables
    • Integro-differential equations
    • Theory of Lie groups

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