Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method
This article was published in the Journal of Retailing [© 2014 Published by American Institute of Physics Inc.] and the definite version is available at: http://dx.doi.org/10.1063/1.4887630 The Journal's website is at: http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4887630
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© 2014 American Institute of Physics Inc.
2016
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10361-68582016-11-16T07:05:44Z Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method Naher, Hasibun Abdullah, Farah Aini Department of Mathematics and Natural Sciences, BRAC University Nonlinear evolution equations The improved (G'/G) -expansion method The simplified MCH equation Traveling wave solutions This article was published in the Journal of Retailing [© 2014 Published by American Institute of Physics Inc.] and the definite version is available at: http://dx.doi.org/10.1063/1.4887630 The Journal's website is at: http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4887630 In this article, an improved (G′/G)-expansion method is implemented for the simplified Modified Camassa-Holm (MCH) equation involving parameters, with an aim to construct many new traveling wave solutions. In this method, second order linear ordinary differential equation with constant coefficients has been implemented as an auxiliary equation. The generated solutions including solitons and periodic solutions are demonstrated by the hyperbolic function, the trigonometric function and the rational forms. If the parameters take particular values, the solutions become in special functional form. Moreover, it is worth mentioning that, some of our solutions are in good agreement with already published results in the open literature by setting appropriate values of constants, which proves our other solutions. In addition, some of obtained solutions are described in the figures with the aid of commercial software Maple 13. Published 2016-11-16T05:08:51Z 2016-11-16T05:08:51Z 2014 Article Naher, H., & Abdullah, F. A. (2014). Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method. Paper presented at the AIP Conference Proceedings, , 1605 446-451. doi:10.1063/1.488763 0094243X http://hdl.handle.net/10361/6858 http://dx.doi.org/10.1063/1.4887630 en http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4887630 © 2014 American Institute of Physics Inc. |
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Brac University |
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Institutional Repository |
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English |
| topic |
Nonlinear evolution equations The improved (G'/G) -expansion method The simplified MCH equation Traveling wave solutions |
| spellingShingle |
Nonlinear evolution equations The improved (G'/G) -expansion method The simplified MCH equation Traveling wave solutions Naher, Hasibun Abdullah, Farah Aini Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method |
| description |
This article was published in the Journal of Retailing [© 2014 Published by American Institute of Physics Inc.] and the definite version is available at: http://dx.doi.org/10.1063/1.4887630 The Journal's website is at: http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4887630 |
| 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 |
Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method |
| title_short |
Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method |
| title_full |
Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method |
| title_fullStr |
Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method |
| title_full_unstemmed |
Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method |
| title_sort |
some new solutions of the (1+1)-dimensional pde via the improved (g ′/ g)-expansion method |
| publisher |
© 2014 American Institute of Physics Inc. |
| publishDate |
2016 |
| url |
http://hdl.handle.net/10361/6858 http://dx.doi.org/10.1063/1.4887630 |
| work_keys_str_mv |
AT naherhasibun somenewsolutionsofthe11dimensionalpdeviatheimprovedggexpansionmethod AT abdullahfarahaini somenewsolutionsofthe11dimensionalpdeviatheimprovedggexpansionmethod |
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1814307036388655104 |