Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation
The recursion operator of a new modified KdV equation and its inverse are explicitly given. Acting the recursion operator and its inverse on the trivial symmetry 0 related to the identity transformation, the infinitely many local and nonlocal symmetries are obtained. Using a closed finite dimensiona...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/282390 |
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| _version_ | 1849413547067441152 |
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| author | Qian Suping Li Xin |
| author_facet | Qian Suping Li Xin |
| author_sort | Qian Suping |
| collection | DOAJ |
| description | The recursion operator of a new modified KdV equation and its inverse are explicitly given. Acting the recursion operator and its inverse on the trivial symmetry 0 related to the identity transformation, the infinitely many local and nonlocal symmetries are obtained. Using a closed finite dimensional symmetry algebra with both local and nonlocal symmetries of the original model, some symmetry reductions and exact solutions are found. |
| format | Article |
| id | doaj-art-6fdaa160bbd44648bd2a96479011d30f |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-6fdaa160bbd44648bd2a96479011d30f2025-08-20T03:34:04ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/282390282390Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV EquationQian Suping0Li Xin1Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, ChinaDepartment of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, ChinaThe recursion operator of a new modified KdV equation and its inverse are explicitly given. Acting the recursion operator and its inverse on the trivial symmetry 0 related to the identity transformation, the infinitely many local and nonlocal symmetries are obtained. Using a closed finite dimensional symmetry algebra with both local and nonlocal symmetries of the original model, some symmetry reductions and exact solutions are found.http://dx.doi.org/10.1155/2013/282390 |
| spellingShingle | Qian Suping Li Xin Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation Advances in Mathematical Physics |
| title | Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation |
| title_full | Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation |
| title_fullStr | Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation |
| title_full_unstemmed | Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation |
| title_short | Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation |
| title_sort | recursion operator and local and nonlocal symmetries of a new modified kdv equation |
| url | http://dx.doi.org/10.1155/2013/282390 |
| work_keys_str_mv | AT qiansuping recursionoperatorandlocalandnonlocalsymmetriesofanewmodifiedkdvequation AT lixin recursionoperatorandlocalandnonlocalsymmetriesofanewmodifiedkdvequation |