Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation
This article was published in the AIP Advances [© 1998 ] and the definite version is available at : http://dx.doi.org/10.1063/1.4804433 The Journal's website is at: http://scitation.aip.org/content/aip/journal/adva/3/5/10.1063/1.4804433
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© 2013 AIP Advances
2016
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| অনলাইন ব্যবহার করুন: | http://hdl.handle.net/10361/6868 http://dx.doi.org/10.1063/1.4804433 |
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10361-68682016-11-17T03:51:10Z Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation Naher, Hasibun Abdullah, Farah Aini Mohyud-Din, Syed Tauseef Department of Mathematics and Natural Sciences, BRAC University Arbitrary constants Auxiliary equations Expansion methods Generalized riccati equations Mathematical tools Nonlinear partial differential equations Physical phenomena Traveling wave solution This article was published in the AIP Advances [© 1998 ] and the definite version is available at : http://dx.doi.org/10.1063/1.4804433 The Journal's website is at: http://scitation.aip.org/content/aip/journal/adva/3/5/10.1063/1.4804433 In this article, the generalized Riccati equation mapping together with the basic (G′/G)-expansion method is implemented which is advance mathematical tool to investigate nonlinear partial differential equations. Moreover, the auxiliary equation G′(φ) = h + f G(φ) + g G 2(φ) is used with arbitrary constant coefficients and called the generalized Riccati equation. By applying this method, we have constructed abundant traveling wave solutions in a uniform way for the Sawada-Kotera equation. The obtained solutions of this equation have vital and noteworthy explanations for some practical physical phenomena. Published 2016-11-17T03:47:36Z 2016-11-17T03:47:36Z 2013 Article Naher, H., Abdullah, F. A., & Mohyud-Din, S. T. (2013). Extended generalized riccati equation mapping method for the fifth-order sawada-kotera equation. AIP Advances, 3(5) doi:10.1063/1.4804433 21583226 http://hdl.handle.net/10361/6868 http://dx.doi.org/10.1063/1.4804433 en http://scitation.aip.org/content/aip/journal/adva/3/5/10.1063/1.4804433 © 2013 AIP Advances |
| institution |
Brac University |
| collection |
Institutional Repository |
| language |
English |
| topic |
Arbitrary constants Auxiliary equations Expansion methods Generalized riccati equations Mathematical tools Nonlinear partial differential equations Physical phenomena Traveling wave solution |
| spellingShingle |
Arbitrary constants Auxiliary equations Expansion methods Generalized riccati equations Mathematical tools Nonlinear partial differential equations Physical phenomena Traveling wave solution Naher, Hasibun Abdullah, Farah Aini Mohyud-Din, Syed Tauseef Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation |
| description |
This article was published in the AIP Advances [© 1998 ] and the definite version is available at : http://dx.doi.org/10.1063/1.4804433 The Journal's website is at: http://scitation.aip.org/content/aip/journal/adva/3/5/10.1063/1.4804433 |
| author2 |
Department of Mathematics and Natural Sciences, BRAC University |
| author_facet |
Department of Mathematics and Natural Sciences, BRAC University Naher, Hasibun Abdullah, Farah Aini Mohyud-Din, Syed Tauseef |
| format |
Article |
| author |
Naher, Hasibun Abdullah, Farah Aini Mohyud-Din, Syed Tauseef |
| author_sort |
Naher, Hasibun |
| title |
Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation |
| title_short |
Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation |
| title_full |
Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation |
| title_fullStr |
Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation |
| title_full_unstemmed |
Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation |
| title_sort |
extended generalized riccati equation mapping method for the fifth-order sawada-kotera equation |
| publisher |
© 2013 AIP Advances |
| publishDate |
2016 |
| url |
http://hdl.handle.net/10361/6868 http://dx.doi.org/10.1063/1.4804433 |
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