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Group Analysis via Weak Symmetries For Benjamin-Bona-Mahony Equation (1007.1212v1)
Published 7 Jul 2010 in math.AP
Abstract: In this paper, weak symmetries of the Benjamin-Bona-Mahony (BBM) equation have been investigated. Indeed, this method has been performed by applying the non-classical symmetries of the BBM equation and the infinitesimal generators of the classical symmetry algebra of the KdV equation as the starting constraints. Similarity reduced equations as well as some exact solutions of the BBM equation are obtained via this method.