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

  • Authors:

  • Teoman Özer

  • Affiliations:

  • Department of Mechanical Engineering, Massachusetts Institute of Technology, 3-468, Cambridge, MA and Faculty of Civil Engineering, Division of Mechanics, Istanbul Technical University, 34469 Masl ...

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2004

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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.