New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation
By using the theory of planar dynamical systems to a coupled nonlinear wave equation, the existence of bell-shaped solitary wave solutions, kink-shaped solitary wave solutions, and periodic wave solutions is obtained. Under the different parametric values, various sufficient conditions to guarantee...
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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/10.1155/2013/301645 |
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| _version_ | 1832551487341854720 |
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| author | XiaoHua Liu CaiXia He |
| author_facet | XiaoHua Liu CaiXia He |
| author_sort | XiaoHua Liu |
| collection | DOAJ |
| description | By using the theory of planar dynamical systems to a coupled nonlinear wave equation, the existence of bell-shaped solitary wave solutions, kink-shaped solitary wave solutions, and periodic wave solutions is obtained. Under the different parametric values, various sufficient conditions to guarantee the existence of the above solutions are given. With the help of three different undetermined coefficient methods, we investigated the new exact explicit expression of all three bell-shaped solitary wave solutions and one kink solitary wave solutions with nonzero asymptotic value for a coupled nonlinear wave equation. The solutions cannot be deduced from the former references. |
| format | Article |
| id | doaj-art-b8c664489f904ea8a8207a4dc4205788 |
| 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-b8c664489f904ea8a8207a4dc42057882025-02-03T06:01:26ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/301645301645New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave EquationXiaoHua Liu0CaiXia He1School of Science, Guizhou Minzu University, Guiyang, Guizhou 550025, ChinaSchool of Science, Guizhou Minzu University, Guiyang, Guizhou 550025, ChinaBy using the theory of planar dynamical systems to a coupled nonlinear wave equation, the existence of bell-shaped solitary wave solutions, kink-shaped solitary wave solutions, and periodic wave solutions is obtained. Under the different parametric values, various sufficient conditions to guarantee the existence of the above solutions are given. With the help of three different undetermined coefficient methods, we investigated the new exact explicit expression of all three bell-shaped solitary wave solutions and one kink solitary wave solutions with nonzero asymptotic value for a coupled nonlinear wave equation. The solutions cannot be deduced from the former references.http://dx.doi.org/10.1155/2013/301645 |
| spellingShingle | XiaoHua Liu CaiXia He New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation Abstract and Applied Analysis |
| title | New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation |
| title_full | New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation |
| title_fullStr | New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation |
| title_full_unstemmed | New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation |
| title_short | New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation |
| title_sort | new exact solitary wave solutions of a coupled nonlinear wave equation |
| url | http://dx.doi.org/10.1155/2013/301645 |
| work_keys_str_mv | AT xiaohualiu newexactsolitarywavesolutionsofacouplednonlinearwaveequation AT caixiahe newexactsolitarywavesolutionsofacouplednonlinearwaveequation |