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dc.contributor.authorNaher, Hasibun
dc.contributor.authorAbdullah, Farah Aini
dc.date.accessioned2016-11-20T07:04:08Z
dc.date.available2016-11-20T07:04:08Z
dc.date.issued2012
dc.identifier.issn1312885X
dc.identifier.urihttp://hdl.handle.net/10361/6877
dc.descriptionThis article was published in the Applied Mathematical Sciences [© 2012 Hasibun Naher and Farah Aini Abdullah.] The Journal's website is at:http://www.m-hikari.com/ams/ams-2012/ams-109-112-2012/naherAMS109-112-2012.pdfen_US
dc.description.abstractThe generalized Riccati equation mapping is extended together with the (G'/G) -expansion method and is a powerful mathematical tool for solving nonlinear partial differential equations. In this article, we construct twenty seven new exact traveling wave solutions including solitons and periodic solutions of the modified Benjamin-Bona-Mahony equation by applying the extended generalized Riccati equation mapping method. In this method, G'(μ) = p + rG(μ) + sG 2 (μ) is implemented as the auxiliary equation, where r, s and p are arbitrary constants and called the generalized Riccati equation. The obtained solutions are described in four different families including the hyperbolic functions, the trigonometric functions and the rational functions. In addition, it is worth mentioning that one of newly obtained solutions is identical for a special case with already published result which validates our other solutions.en_US
dc.language.isoenen_US
dc.publisher© 2012 Applied Mathematical Scienceen_US
dc.subjectNonlinear evolution equationsen_US
dc.subjectThe (G'/G) -expansion methoden_US
dc.subjectThe generalized Riccati equationen_US
dc.subjectThe modified Benjamin-Bona-Mahony equationen_US
dc.subjectTraveling wave solutionsen_US
dc.titleThe modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping methoden_US
dc.typeArticleen_US
dc.description.versionPublished
dc.contributor.departmentDepartment of Mathematics and Natural Sciences, BRAC University


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