Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method
This article was published in the AIP Advances [© 2012 Author(s). ] and the definite version is available at : http://dx.doi.org/10.1063/1.4769751 The Journal's website is at: http://scitation.aip.org/content/aip/journal/adva/2/4/10.1063/1.4769751
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© 2012 AIP Advances
2016
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| অনলাইন ব্যবহার করুন: | http://hdl.handle.net/10361/6872 http://dx.doi.org/10.1063/1.4769751 |
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10361-68722016-11-17T09:59:54Z Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method Naher, Hasibun Abdullah, Farah Aini Bekir, Ahmet Department of Mathematics and Natural Sciences, BRAC University Constant coefficients Exact traveling wave solutions Expansion methods KdV-Burgers equation Linear ordinary differential equations Periodic solution Second orders Traveling wave solution This article was published in the AIP Advances [© 2012 Author(s). ] and the definite version is available at : http://dx.doi.org/10.1063/1.4769751 The Journal's website is at: http://scitation.aip.org/content/aip/journal/adva/2/4/10.1063/1.4769751 In this article, we investigate the compound KdV-Burgers equation involving parameters by applying the improved (G′/G)-expansion method for constructing some new exact traveling wave solutions including solitons and periodic solutions. The second order linear ordinary differential equation with constant coefficients is used, in this method. The obtained solutions are presented through the hyperbolic, the trigonometric and the rational functions. Further, it is significant to point out that some of our solutions are in good agreement for special cases with the existing results which validates our other solutions. Moreover, some of the obtained solutions are described in the figures. Published 2016-11-17T09:56:15Z 2016-11-17T09:56:15Z 2012 Article Naher, H., Abdullah, F. A., & Bekir, A. (2012). Abundant traveling wave solutions of the compound KdV-burgers equation via the improved (G′/G)-expansion method. AIP Advances, 2(4) doi:10.1063/1.4769751 21583226 http://hdl.handle.net/10361/6872 http://dx.doi.org/10.1063/1.4769751 en http://scitation.aip.org/content/aip/journal/adva/2/4/10.1063/1.4769751 © 2012 AIP Advances |
| institution |
Brac University |
| collection |
Institutional Repository |
| language |
English |
| topic |
Constant coefficients Exact traveling wave solutions Expansion methods KdV-Burgers equation Linear ordinary differential equations Periodic solution Second orders Traveling wave solution |
| spellingShingle |
Constant coefficients Exact traveling wave solutions Expansion methods KdV-Burgers equation Linear ordinary differential equations Periodic solution Second orders Traveling wave solution Naher, Hasibun Abdullah, Farah Aini Bekir, Ahmet Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method |
| description |
This article was published in the AIP Advances [© 2012 Author(s). ] and the definite version is available at : http://dx.doi.org/10.1063/1.4769751 The Journal's website is at: http://scitation.aip.org/content/aip/journal/adva/2/4/10.1063/1.4769751 |
| author2 |
Department of Mathematics and Natural Sciences, BRAC University |
| author_facet |
Department of Mathematics and Natural Sciences, BRAC University Naher, Hasibun Abdullah, Farah Aini Bekir, Ahmet |
| format |
Article |
| author |
Naher, Hasibun Abdullah, Farah Aini Bekir, Ahmet |
| author_sort |
Naher, Hasibun |
| title |
Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method |
| title_short |
Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method |
| title_full |
Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method |
| title_fullStr |
Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method |
| title_full_unstemmed |
Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method |
| title_sort |
abundant traveling wave solutions of the compound kdv-burgers equation via the improved (g′/g)-expansion method |
| publisher |
© 2012 AIP Advances |
| publishDate |
2016 |
| url |
http://hdl.handle.net/10361/6872 http://dx.doi.org/10.1063/1.4769751 |
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