The (G′/G)-Expansion Method and Its Application for Higher-Order Equations of KdV (III)
New exact traveling wave solutions of a higher-order KdV equation type are studied by the (G′/G)-expansion method, where G=G(ξ) satisfies a second-order linear differential equation. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions, and the rational...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/384969 |
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| author | Huizhang Yang Wei Li Biyu Yang |
| author_facet | Huizhang Yang Wei Li Biyu Yang |
| author_sort | Huizhang Yang |
| collection | DOAJ |
| description | New exact traveling wave solutions of a higher-order KdV equation type are studied by the (G′/G)-expansion method, where G=G(ξ) satisfies a second-order linear differential equation. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. The property of this method is that it is quite simple and understandable. |
| format | Article |
| id | doaj-art-324db61d44ec4d1396d968b847fdcd76 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-324db61d44ec4d1396d968b847fdcd762025-02-03T00:59:22ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/384969384969The (G′/G)-Expansion Method and Its Application for Higher-Order Equations of KdV (III)Huizhang Yang0Wei Li1Biyu Yang2College of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaNew exact traveling wave solutions of a higher-order KdV equation type are studied by the (G′/G)-expansion method, where G=G(ξ) satisfies a second-order linear differential equation. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. The property of this method is that it is quite simple and understandable.http://dx.doi.org/10.1155/2014/384969 |
| spellingShingle | Huizhang Yang Wei Li Biyu Yang The (G′/G)-Expansion Method and Its Application for Higher-Order Equations of KdV (III) Journal of Applied Mathematics |
| title | The (G′/G)-Expansion Method and Its Application for Higher-Order Equations of KdV (III) |
| title_full | The (G′/G)-Expansion Method and Its Application for Higher-Order Equations of KdV (III) |
| title_fullStr | The (G′/G)-Expansion Method and Its Application for Higher-Order Equations of KdV (III) |
| title_full_unstemmed | The (G′/G)-Expansion Method and Its Application for Higher-Order Equations of KdV (III) |
| title_short | The (G′/G)-Expansion Method and Its Application for Higher-Order Equations of KdV (III) |
| title_sort | g g expansion method and its application for higher order equations of kdv iii |
| url | http://dx.doi.org/10.1155/2014/384969 |
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