Exact solutions to the foam drainage equation by using the new generalized (G′/G)-expansion method
The new generalized (G′/G)-expansion method is an interesting approach to find new and more general exact solutions to the nonlinear evolution equations (NLEEs) in mathematical physics and engineering. In this paper, the method is applied to construct exact solutions involving parameters for the foa...
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| Format: | Article |
| Language: | English |
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Elsevier
2015-01-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379715000327 |
| _version_ | 1819211818702209024 |
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| author | Md. Nur Alam |
| author_facet | Md. Nur Alam |
| author_sort | Md. Nur Alam |
| collection | DOAJ |
| description | The new generalized (G′/G)-expansion method is an interesting approach to find new and more general exact solutions to the nonlinear evolution equations (NLEEs) in mathematical physics and engineering. In this paper, the method is applied to construct exact solutions involving parameters for the foam drainage equation. When these parameters are taken to be special values, the solitary wave solutions, the periodic wave and the rational function solutions are derived from exact solutions. These solutions might be imperative and significant for the explanation of some practical physical phenomena. It is shown that the method is an easy and advanced mathematical tool for solving NLEEs. |
| first_indexed | 2024-12-23T06:33:07Z |
| format | Article |
| id | doaj.art-5096f053811046f8879aa798e1f6e575 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-23T06:33:07Z |
| publishDate | 2015-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-5096f053811046f8879aa798e1f6e5752022-12-21T17:56:52ZengElsevierResults in Physics2211-37972015-01-015C16817710.1016/j.rinp.2015.07.001Exact solutions to the foam drainage equation by using the new generalized (G′/G)-expansion methodMd. Nur AlamThe new generalized (G′/G)-expansion method is an interesting approach to find new and more general exact solutions to the nonlinear evolution equations (NLEEs) in mathematical physics and engineering. In this paper, the method is applied to construct exact solutions involving parameters for the foam drainage equation. When these parameters are taken to be special values, the solitary wave solutions, the periodic wave and the rational function solutions are derived from exact solutions. These solutions might be imperative and significant for the explanation of some practical physical phenomena. It is shown that the method is an easy and advanced mathematical tool for solving NLEEs.http://www.sciencedirect.com/science/article/pii/S2211379715000327New generalized (G′/G)-expansion methodThe foam drainage equationNLEEsExact solutionsSolitary wave solutions |
| spellingShingle | Md. Nur Alam Exact solutions to the foam drainage equation by using the new generalized (G′/G)-expansion method Results in Physics New generalized (G′/G)-expansion method The foam drainage equation NLEEs Exact solutions Solitary wave solutions |
| title | Exact solutions to the foam drainage equation by using the new generalized (G′/G)-expansion method |
| title_full | Exact solutions to the foam drainage equation by using the new generalized (G′/G)-expansion method |
| title_fullStr | Exact solutions to the foam drainage equation by using the new generalized (G′/G)-expansion method |
| title_full_unstemmed | Exact solutions to the foam drainage equation by using the new generalized (G′/G)-expansion method |
| title_short | Exact solutions to the foam drainage equation by using the new generalized (G′/G)-expansion method |
| title_sort | exact solutions to the foam drainage equation by using the new generalized g g expansion method |
| topic | New generalized (G′/G)-expansion method The foam drainage equation NLEEs Exact solutions Solitary wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2211379715000327 |
| work_keys_str_mv | AT mdnuralam exactsolutionstothefoamdrainageequationbyusingthenewgeneralizedggexpansionmethod |