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

Teoman Özer

doi:10.1016/j.cam.2003.12.027

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

Teoman Özer^*

^*Corresponding author for this work

Massachusetts Institute of Technology

Research output: Contribution to journal › Article › peer-review

22 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 language	English
Pages (from-to)	297-313
Number of pages	17
Journal	Journal of Computational and Applied Mathematics
Volume	169
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2003.12.027
Publication status	Published - 15 Aug 2004
Externally published	Yes

Keywords

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

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10.1016/j.cam.2003.12.027

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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.",

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AB - 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.

KW - Benney equations in Lagrangian variables

KW - Integro-differential equations

KW - Theory of Lie groups

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EP - 313

JO - Journal of Computational and Applied Mathematics

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ER -

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

Abstract

Keywords

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