New Application of the (G′/G)-Expansion Method for Thin Film Equations
The (G′/G)-expansion method is used for the first time to find traveling wave solutions for thin film equations, where it is found that the related balance numbers are not the usual positive integers. The closed-form solution obtained via this method is in good agreement with the previously obtaine...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/535138 |
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| _version_ | 1849307562898358272 |
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| author | Wafaa M. Taha M. S. M. Noorani I. Hashim |
| author_facet | Wafaa M. Taha M. S. M. Noorani I. Hashim |
| author_sort | Wafaa M. Taha |
| collection | DOAJ |
| description | The (G′/G)-expansion method is used for the first time to find traveling wave solutions for thin film equations, where it is found that the related balance numbers are not the usual positive integers. The closed-form solution obtained via this method is in good agreement with the previously obtained solutions of other researchers. It is also noted that, for appropriate parameters, new solitary waves solutions are found. |
| format | Article |
| id | doaj-art-1bc29f4a6a4e46f8a5ebab237fd2d586 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1bc29f4a6a4e46f8a5ebab237fd2d5862025-08-20T03:54:43ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/535138535138New Application of the (G′/G)-Expansion Method for Thin Film EquationsWafaa M. Taha0M. S. M. Noorani1I. Hashim2Pusat Pengajian Sains Matematik, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaPusat Pengajian Sains Matematik, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaPusat Pengajian Sains Matematik, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaThe (G′/G)-expansion method is used for the first time to find traveling wave solutions for thin film equations, where it is found that the related balance numbers are not the usual positive integers. The closed-form solution obtained via this method is in good agreement with the previously obtained solutions of other researchers. It is also noted that, for appropriate parameters, new solitary waves solutions are found.http://dx.doi.org/10.1155/2013/535138 |
| spellingShingle | Wafaa M. Taha M. S. M. Noorani I. Hashim New Application of the (G′/G)-Expansion Method for Thin Film Equations Abstract and Applied Analysis |
| title | New Application of the (G′/G)-Expansion Method for Thin Film Equations |
| title_full | New Application of the (G′/G)-Expansion Method for Thin Film Equations |
| title_fullStr | New Application of the (G′/G)-Expansion Method for Thin Film Equations |
| title_full_unstemmed | New Application of the (G′/G)-Expansion Method for Thin Film Equations |
| title_short | New Application of the (G′/G)-Expansion Method for Thin Film Equations |
| title_sort | new application of the g g expansion method for thin film equations |
| url | http://dx.doi.org/10.1155/2013/535138 |
| work_keys_str_mv | AT wafaamtaha newapplicationoftheggexpansionmethodforthinfilmequations AT msmnoorani newapplicationoftheggexpansionmethodforthinfilmequations AT ihashim newapplicationoftheggexpansionmethodforthinfilmequations |