Article ID Journal Published Year Pages File Type
1899390 Reports on Mathematical Physics 2007 25 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics