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 language | English |
|---|---|
| Pages (from-to) | 297-313 |
| Number of pages | 17 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 169 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 15 Aug 2004 |
| Externally published | Yes |
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.
| Funders | Funder number |
|---|---|
| NATO-TÜBİTAK | |
| Türkiye Bilimsel ve Teknolojik Araştirma Kurumu |
Keywords
- Benney equations in Lagrangian variables
- Integro-differential equations
- Theory of Lie groups