http://repository.iitr.ac.in/handle/123456789/10504| Title: | Painlevé analysis, Lie symmetries and exact solutions for variable coefficients Benjamin-Bona-Mahony-Burger (BBMB) equation |
| Authors: | Kumar V. Gupta R.K. Jiwari, Ram |
| Published in: | Communications in Theoretical Physics |
| Abstract: | In this paper, a variable-coefficient Benjamin-Bona-Mahony-Burger (BBMB) equation arising as a mathematical model of propagation of small-amplitude long waves in nonlinear dispersive media is investigated. The integrability of such an equation is studied with Painlevé analysis. The Lie symmetry method is performed for the BBMB equation and then similarity reductions and exact solutions are obtained based on the optimal system method. Furthermore different types of solitary, periodic and kink waves can be seen with the change of variable coefficients. © 2013 Chinese Physical Society and IOP Publishing Ltd. |
| Citation: | Communications in Theoretical Physics (2013), 60(2): 175-182 |
| URI: | https://doi.org/10.1088/0253-6102/60/2/06 http://repository.iitr.ac.in/handle/123456789/10504 |
| Issue Date: | 2013 |
| Keywords: | BBMB equation Exact solutions Lie symmetric analysis Painlevé analysis |
| ISSN: | 2536102 |
| Author Scopus IDs: | 57197697172 57202063317 35194081300 |
| Author Affiliations: | Kumar, V., School of Mathematics and Computer Applications, Thapar University, Patiala 147004, Punjab, India Gupta, R.K., School of Mathematics and Computer Applications, Thapar University, Patiala 147004, Punjab, India Jiwari, R., School of Mathematics and Computer Applications, Thapar University, Patiala 147004, Punjab, India |
| Corresponding Author: | Gupta, R.K.; School of Mathematics and Computer Applications, Thapar University, Patiala 147004, Punjab, India; email: rajeshgupta@thapar.edu |
| Appears in Collections: | Journal Publications [MA] |
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