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Benjamin-Bona-Mahony (BBM) equation with variable coefficients: Similarity reductions and Painlevé analysis |
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| Authors: | K. Singh Sachin Kumar |
| Affiliation: | a Department of Mathematics, Jaypee University of Information Technology, Waknaghat, P.O. Dumehar Bani, Kandaghat, Distt. Solan 173215, Himachal Pradesh, India b School of Mathematics and Computer Applications, Thapar University, Patiala 147004, Punjab, India |
| Abstract: | The Lie-group formalism is applied to investigate the symmetries of the Benjamin-Bona-Mahony (BBM) equation with variable coefficients. We derive the infinitesimals and the admissible forms of the coefficients that admit the classical symmetry group. The ordinary differential equations deduced from the optimal system of subalgebras are further studied and some exact solutions are obtained. |
| Keywords: | Benjamin-Bona-Mahony equation Lie classical method Painlevé analysis Exact solutions |
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