Group Analysis via Weak Symmetries For Benjamin-Bona-Mahony Equation
Analysis of PDEs
2012-03-15 v1
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.
Keywords
Cite
@article{arxiv.1007.1212,
title = {Group Analysis via Weak Symmetries For Benjamin-Bona-Mahony Equation},
author = {Mehdi Nadjafikhah and Fatemeh Ahangari and Saeed Dodangeh},
journal= {arXiv preprint arXiv:1007.1212},
year = {2012}
}