New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation
The nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. Abundant new exact traveling wave solutions for this equation are obtained, which contain trigonometric function solutions, solitary wave solutions, Jacobian elliptic function solutions,...
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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/10.1155/2014/495125 |
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| _version_ | 1832553497342509056 |
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| author | Peng Guo Xiang Wu Liangbi Wang |
| author_facet | Peng Guo Xiang Wu Liangbi Wang |
| author_sort | Peng Guo |
| collection | DOAJ |
| description | The nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. Abundant new exact traveling wave solutions for this equation are obtained, which contain trigonometric function solutions, solitary wave solutions, Jacobian elliptic function solutions, and Weierstrass elliptic function solutions. The method can be used in further works to establish more entirely new solutions for
other kinds of nonlinear evolution equations arising in physics. |
| format | Article |
| id | doaj-art-c2f6402c1abf47db83d1477d3bef6992 |
| 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-c2f6402c1abf47db83d1477d3bef69922025-02-03T05:53:57ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/495125495125New Solutions of Elastic Waves in an Elastic Rod under Finite DeformationPeng Guo0Xiang Wu1Liangbi Wang2School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, ChinaSchool of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, ChinaSchool of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, ChinaThe nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. Abundant new exact traveling wave solutions for this equation are obtained, which contain trigonometric function solutions, solitary wave solutions, Jacobian elliptic function solutions, and Weierstrass elliptic function solutions. The method can be used in further works to establish more entirely new solutions for other kinds of nonlinear evolution equations arising in physics.http://dx.doi.org/10.1155/2014/495125 |
| spellingShingle | Peng Guo Xiang Wu Liangbi Wang New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation Journal of Applied Mathematics |
| title | New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation |
| title_full | New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation |
| title_fullStr | New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation |
| title_full_unstemmed | New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation |
| title_short | New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation |
| title_sort | new solutions of elastic waves in an elastic rod under finite deformation |
| url | http://dx.doi.org/10.1155/2014/495125 |
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