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A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations
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| Zeitschriftentitel: | Royal Society Open Science |
|---|---|
| Personen und Körperschaften: | , , , |
| In: | Royal Society Open Science, 1, 2014, 2, S. 140038 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
The Royal Society
|
| Schlagwörter: |
| author_facet |
Islam, Md. Shafiqul Khan, Kamruzzaman Akbar, M. Ali Mastroberardino, Antonio Islam, Md. Shafiqul Khan, Kamruzzaman Akbar, M. Ali Mastroberardino, Antonio |
|---|---|
| author |
Islam, Md. Shafiqul Khan, Kamruzzaman Akbar, M. Ali Mastroberardino, Antonio |
| spellingShingle |
Islam, Md. Shafiqul Khan, Kamruzzaman Akbar, M. Ali Mastroberardino, Antonio Royal Society Open Science A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations Multidisciplinary |
| author_sort |
islam, md. shafiqul |
| spelling |
Islam, Md. Shafiqul Khan, Kamruzzaman Akbar, M. Ali Mastroberardino, Antonio 2054-5703 The Royal Society Multidisciplinary http://dx.doi.org/10.1098/rsos.140038 <jats:p> The purpose of this article is to present an analytical method, namely the improved <jats:italic>F</jats:italic> -expansion method combined with the Riccati equation, for finding exact solutions of nonlinear evolution equations. The present method is capable of calculating all branches of solutions simultaneously, even if multiple solutions are very close and thus difficult to distinguish with numerical techniques. To verify the computational efficiency, we consider the modified Benjamin–Bona–Mahony equation and the modified Korteweg-de Vries equation. Our results reveal that the method is a very effective and straightforward way of formulating the exact travelling wave solutions of nonlinear wave equations arising in mathematical physics and engineering. </jats:p> A note on improved <i>F</i> -expansion method combined with Riccati equation applied to nonlinear evolution equations Royal Society Open Science |
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| title |
A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_unstemmed |
A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_full |
A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_fullStr |
A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_full_unstemmed |
A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_short |
A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_sort |
a note on improved
<i>f</i>
-expansion method combined with riccati equation applied to nonlinear evolution equations |
| topic |
Multidisciplinary |
| url |
http://dx.doi.org/10.1098/rsos.140038 |
| publishDate |
2014 |
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140038 |
| description |
<jats:p>
The purpose of this article is to present an analytical method, namely the improved
<jats:italic>F</jats:italic>
-expansion method combined with the Riccati equation, for finding exact solutions of nonlinear evolution equations. The present method is capable of calculating all branches of solutions simultaneously, even if multiple solutions are very close and thus difficult to distinguish with numerical techniques. To verify the computational efficiency, we consider the modified Benjamin–Bona–Mahony equation and the modified Korteweg-de Vries equation. Our results reveal that the method is a very effective and straightforward way of formulating the exact travelling wave solutions of nonlinear wave equations arising in mathematical physics and engineering.
</jats:p> |
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| author | Islam, Md. Shafiqul, Khan, Kamruzzaman, Akbar, M. Ali, Mastroberardino, Antonio |
| author_facet | Islam, Md. Shafiqul, Khan, Kamruzzaman, Akbar, M. Ali, Mastroberardino, Antonio, Islam, Md. Shafiqul, Khan, Kamruzzaman, Akbar, M. Ali, Mastroberardino, Antonio |
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| description | <jats:p> The purpose of this article is to present an analytical method, namely the improved <jats:italic>F</jats:italic> -expansion method combined with the Riccati equation, for finding exact solutions of nonlinear evolution equations. The present method is capable of calculating all branches of solutions simultaneously, even if multiple solutions are very close and thus difficult to distinguish with numerical techniques. To verify the computational efficiency, we consider the modified Benjamin–Bona–Mahony equation and the modified Korteweg-de Vries equation. Our results reveal that the method is a very effective and straightforward way of formulating the exact travelling wave solutions of nonlinear wave equations arising in mathematical physics and engineering. </jats:p> |
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| imprint_str_mv | The Royal Society, 2014 |
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| language | English |
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| physical | 140038 |
| publishDate | 2014 |
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| recordtype | ai |
| series | Royal Society Open Science |
| source_id | 49 |
| spelling | Islam, Md. Shafiqul Khan, Kamruzzaman Akbar, M. Ali Mastroberardino, Antonio 2054-5703 The Royal Society Multidisciplinary http://dx.doi.org/10.1098/rsos.140038 <jats:p> The purpose of this article is to present an analytical method, namely the improved <jats:italic>F</jats:italic> -expansion method combined with the Riccati equation, for finding exact solutions of nonlinear evolution equations. The present method is capable of calculating all branches of solutions simultaneously, even if multiple solutions are very close and thus difficult to distinguish with numerical techniques. To verify the computational efficiency, we consider the modified Benjamin–Bona–Mahony equation and the modified Korteweg-de Vries equation. Our results reveal that the method is a very effective and straightforward way of formulating the exact travelling wave solutions of nonlinear wave equations arising in mathematical physics and engineering. </jats:p> A note on improved <i>F</i> -expansion method combined with Riccati equation applied to nonlinear evolution equations Royal Society Open Science |
| spellingShingle | Islam, Md. Shafiqul, Khan, Kamruzzaman, Akbar, M. Ali, Mastroberardino, Antonio, Royal Society Open Science, A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations, Multidisciplinary |
| title | A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_full | A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_fullStr | A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_full_unstemmed | A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_short | A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| title_sort | a note on improved <i>f</i> -expansion method combined with riccati equation applied to nonlinear evolution equations |
| title_unstemmed | A note on improved F -expansion method combined with Riccati equation applied to nonlinear evolution equations |
| topic | Multidisciplinary |
| url | http://dx.doi.org/10.1098/rsos.140038 |