Group Analysis via Weak Symmetries For Benjamin-Bona-Mahony Equation

Details Group Analysis via Weak Symmetries For Benjamin-Bona-Mahony Equation Group Analysis via Weak Symmetries For Benjamin-Bona-Mahony Equation

2010-07-07

arxiv.org/abs/1007.1212v1

International Journal of Mathematical and Computational Sciences, vol. 6, 2012, 10-15

Mathematics

Analysis of PDEs

Scientific paper

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.

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