Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation
We have undertaken the fact that the periodic solution of (2+1)D KdV-Burgers equation does not exist. The Saddle-node heteroclinic orbit has been obtained. Using the Lie group method, we get two-(1+1)-dimensional PDE, through symmetric reduction; and by the direct integral method, spread F-expansion...
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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/10.1155/2013/696074 |
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| _version_ | 1849304795041497088 |
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| author | Da-Quan Xian |
| author_facet | Da-Quan Xian |
| author_sort | Da-Quan Xian |
| collection | DOAJ |
| description | We have undertaken the fact that the periodic solution of (2+1)D KdV-Burgers equation
does not exist. The Saddle-node heteroclinic orbit has been obtained. Using the Lie group method, we
get two-(1+1)-dimensional PDE, through symmetric reduction; and by the direct integral method, spread
F-expansion method, and -expansion method, we obtain exact nontraveling wave solutions, for the
(2+1)D KdV Burgers equation, and find out some new strange phenomenons of sympathetic vibration to
evolution of nontraveling wave. |
| format | Article |
| id | doaj-art-3c6ff21b22e64cd59fff7eb2d5dc74c0 |
| 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-3c6ff21b22e64cd59fff7eb2d5dc74c02025-08-20T03:55:37ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/696074696074Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers EquationDa-Quan Xian0School of Sciences, Southwest University of Science and Technology, Mianyang 621010, ChinaWe have undertaken the fact that the periodic solution of (2+1)D KdV-Burgers equation does not exist. The Saddle-node heteroclinic orbit has been obtained. Using the Lie group method, we get two-(1+1)-dimensional PDE, through symmetric reduction; and by the direct integral method, spread F-expansion method, and -expansion method, we obtain exact nontraveling wave solutions, for the (2+1)D KdV Burgers equation, and find out some new strange phenomenons of sympathetic vibration to evolution of nontraveling wave.http://dx.doi.org/10.1155/2013/696074 |
| spellingShingle | Da-Quan Xian Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation Abstract and Applied Analysis |
| title | Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation |
| title_full | Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation |
| title_fullStr | Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation |
| title_full_unstemmed | Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation |
| title_short | Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation |
| title_sort | saddle node heteroclinic orbit and exact nontraveling wave solutions for 2 1 d kdv burgers equation |
| url | http://dx.doi.org/10.1155/2013/696074 |
| work_keys_str_mv | AT daquanxian saddlenodeheteroclinicorbitandexactnontravelingwavesolutionsfor21dkdvburgersequation |