The homogeneous balance method and its application to the Benjamin-Bona-Mahoney (BBM) equation |
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| Authors: | AS Abdel Rady |
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| Institution: | Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt |
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| Abstract: | We make use of the homogeneous balance method and symbolic computation to construct new exact traveling wave solutions for the Benjamin-Bona-Mahoney (BBM) equation. Many new exact traveling wave solutions are successfully obtained, which contain rational and periodic-like solutions. This method is straightforward and concise, and it can also be applied to other nonlinear evolution equations. |
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| Keywords: | Homogeneous balance method Traveling wave solutions Soliton solutions Benjamin-Bona-Mahoney equation Riccati equation |
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