Abstract
This study deals with the symmetry group analysis of the nonlinear and nonlocal Benney equation in hydrodynamics. The generalization of the invariance criterion for the integro- differential equations is used to calculate the Lie point symmetries. Furthermore, the solution technique for nonlocal determining equations is introduced. The optimal system, reduced equations and similarity solutions are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 13-37 |
| Number of pages | 25 |
| Journal | Reports on Mathematical Physics |
| Volume | 60 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Aug 2007 |
Keywords
- equations
- Lie algebra
- nonlinear and nonlocal
- nonlocal Benney equation
- similarity solutions
- symmetry groups