Some Reduction and Exact Solutions of a Higher-Dimensional Equation
The conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov equation were obtained using Noether’s theorem after an interesting substitution u=vx to the equation. Then, with the aid of an obtained conservation law, the generalized double reduction theorem was applied to this equation. It can b...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/597470 |
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| _version_ | 1832558509145718784 |
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| author | Guangming Wang Zhong Han |
| author_facet | Guangming Wang Zhong Han |
| author_sort | Guangming Wang |
| collection | DOAJ |
| description | The conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov equation were
obtained using Noether’s theorem after an interesting substitution u=vx to the
equation. Then, with the aid of an obtained conservation law, the generalized double reduction theorem was applied to this equation. It can be verified that the reduced equation is a second order nonlinear ODE. Finally, some exact solutions of the
Zakharov-Kuznetsov equation were constructed after solving the reduced equation. |
| format | Article |
| id | doaj-art-2f4c2dbade4a4dce8cb89fab7937fa1e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2f4c2dbade4a4dce8cb89fab7937fa1e2025-02-03T01:32:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/597470597470Some Reduction and Exact Solutions of a Higher-Dimensional EquationGuangming Wang0Zhong Han1College of Teacher Education, Tianjin Normal University, Tianjin 300387, ChinaCollege of Sciences, China University of Mining and Technology, Xuzhou 221116, ChinaThe conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov equation were obtained using Noether’s theorem after an interesting substitution u=vx to the equation. Then, with the aid of an obtained conservation law, the generalized double reduction theorem was applied to this equation. It can be verified that the reduced equation is a second order nonlinear ODE. Finally, some exact solutions of the Zakharov-Kuznetsov equation were constructed after solving the reduced equation.http://dx.doi.org/10.1155/2014/597470 |
| spellingShingle | Guangming Wang Zhong Han Some Reduction and Exact Solutions of a Higher-Dimensional Equation Abstract and Applied Analysis |
| title | Some Reduction and Exact Solutions of a Higher-Dimensional Equation |
| title_full | Some Reduction and Exact Solutions of a Higher-Dimensional Equation |
| title_fullStr | Some Reduction and Exact Solutions of a Higher-Dimensional Equation |
| title_full_unstemmed | Some Reduction and Exact Solutions of a Higher-Dimensional Equation |
| title_short | Some Reduction and Exact Solutions of a Higher-Dimensional Equation |
| title_sort | some reduction and exact solutions of a higher dimensional equation |
| url | http://dx.doi.org/10.1155/2014/597470 |
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