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Potential method applied to Boussinesq equation
Authors:E.Y. Abu El Seoud
Affiliation:Mathematics and Physics Department, Faculty of Engineering, Zagazig University, Egypt
Abstract:In this paper a solution of the nonlinear Boussinesq equation is presented using the potential similarity transformation method. The equation is first written in a conserved form, a potential function is then assumed reducing it to a system of equations which is further solved through the group transformation method. New transformations are found.
Keywords:Shallow water   Boussinesq equation   Potential method   Group similarity method
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