Hyperbolic, Trigonometric, and Rational Function Solutions of Hirota-Ramani Equation via (𝐺′/𝐺)-Expansion Method
The (𝐺/𝐺)-expansion method is proposed to construct the exact traveling solutions to Hirota-Ramani equation: 𝑢𝑡−𝑢𝑥𝑥𝑡+𝑎𝑢𝑥(1−𝑢𝑡)=0, where 𝑎≠0. Our work is motivated by the fact that the (𝐺/𝐺)-expansion method provides not only more general forms of solutions but also periodic and solitary waves. If...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/424801 |
| Summary: | The (𝐺/𝐺)-expansion method is proposed to construct the exact traveling solutions to Hirota-Ramani equation:
𝑢𝑡−𝑢𝑥𝑥𝑡+𝑎𝑢𝑥(1−𝑢𝑡)=0, where 𝑎≠0. Our work is motivated by the fact that the (𝐺/𝐺)-expansion method
provides not only more general forms of solutions but also periodic and solitary waves. If we set the parameters in the obtained wider set of solutions as special values, then some previously known solutions can be recovered. The method appears to be easier and faster by means of a symbolic computation system. |
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| ISSN: | 1024-123X 1563-5147 |