The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method
This 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.pdf
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© 2012 Applied Mathematical Science
2016
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| Acceso en línea: | http://hdl.handle.net/10361/6877 |
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10361-68772016-11-20T07:10:40Z The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method Naher, Hasibun Abdullah, Farah Aini Department of Mathematics and Natural Sciences, BRAC University Nonlinear evolution equations The (G'/G) -expansion method The generalized Riccati equation The modified Benjamin-Bona-Mahony equation Traveling wave solutions This 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.pdf The 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. Published 2016-11-20T07:04:08Z 2016-11-20T07:04:08Z 2012 Article 1312885X http://hdl.handle.net/10361/6877 en © 2012 Applied Mathematical Science |
| institution |
Brac University |
| collection |
Institutional Repository |
| language |
English |
| topic |
Nonlinear evolution equations The (G'/G) -expansion method The generalized Riccati equation The modified Benjamin-Bona-Mahony equation Traveling wave solutions |
| spellingShingle |
Nonlinear evolution equations The (G'/G) -expansion method The generalized Riccati equation The modified Benjamin-Bona-Mahony equation Traveling wave solutions Naher, Hasibun Abdullah, Farah Aini The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method |
| description |
This 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.pdf |
| author2 |
Department of Mathematics and Natural Sciences, BRAC University |
| author_facet |
Department of Mathematics and Natural Sciences, BRAC University Naher, Hasibun Abdullah, Farah Aini |
| format |
Article |
| author |
Naher, Hasibun Abdullah, Farah Aini |
| author_sort |
Naher, Hasibun |
| title |
The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method |
| title_short |
The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method |
| title_full |
The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method |
| title_fullStr |
The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method |
| title_full_unstemmed |
The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method |
| title_sort |
modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method |
| publisher |
© 2012 Applied Mathematical Science |
| publishDate |
2016 |
| url |
http://hdl.handle.net/10361/6877 |
| work_keys_str_mv |
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| _version_ |
1814307106916925440 |