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Please use this identifier to cite or link to this item: 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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