Potential method applied to Boussinesq equation

Faculty Science Year: 2010
Type of Publication: Article Pages: 3991-3997
Authors:
Abu El Seoud, E. Y, Kassem, M. M
DOI: 10.1016/j.amc.2009.12.005
Journal: APPLIED MATHEMATICS AND COMPUTATION ELSEVIER SCIENCE INC Volume: 215
Research Area: Mathematics ISSN ISI:000273440600025
Keywords : Shallow water, Boussinesq equation, Potential method, Group similarity method    
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. (C) 2009 Elsevier Inc. All rights reserved.
    
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