A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application
First, by improving some key steps in the homogeneous balance method, a new auto-Bäcklund transformation (BT) to the KdV equation with general variable coefficients is derived. The new auto-BT in this paper does not require the coefficients of the equation to be linearly dependent. Then, based on th...
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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/10.1155/2014/591982 |
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| _version_ | 1832560893286678528 |
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| author | Chunping Liu |
| author_facet | Chunping Liu |
| author_sort | Chunping Liu |
| collection | DOAJ |
| description | First, by improving some key steps in the homogeneous balance method, a new auto-Bäcklund transformation (BT) to the KdV equation with general variable coefficients is derived. The new auto-BT in this paper does not require the coefficients of the equation to be linearly dependent. Then, based on the new auto-BT in which there is only one quadratic homogeneity equation to be solved, an exact soliton-like solution containing 2-solitary wave is given. |
| format | Article |
| id | doaj-art-b10c19d2d4e840edb106a3a190f881cd |
| 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-b10c19d2d4e840edb106a3a190f881cd2025-02-03T01:26:30ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/591982591982A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its ApplicationChunping Liu0Institute of Mathematics, Yangzhou University, Yangzhou 225002, ChinaFirst, by improving some key steps in the homogeneous balance method, a new auto-Bäcklund transformation (BT) to the KdV equation with general variable coefficients is derived. The new auto-BT in this paper does not require the coefficients of the equation to be linearly dependent. Then, based on the new auto-BT in which there is only one quadratic homogeneity equation to be solved, an exact soliton-like solution containing 2-solitary wave is given.http://dx.doi.org/10.1155/2014/591982 |
| spellingShingle | Chunping Liu A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application Abstract and Applied Analysis |
| title | A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application |
| title_full | A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application |
| title_fullStr | A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application |
| title_full_unstemmed | A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application |
| title_short | A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application |
| title_sort | new auto backlund transformation of the kdv equation with general variable coefficients and its application |
| url | http://dx.doi.org/10.1155/2014/591982 |
| work_keys_str_mv | AT chunpingliu anewautobacklundtransformationofthekdvequationwithgeneralvariablecoefficientsanditsapplication AT chunpingliu newautobacklundtransformationofthekdvequationwithgeneralvariablecoefficientsanditsapplication |