Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients
This work concerns how to find the double periodic form of approximate solutions of the perturbed combined KdV (CKdV) equation with variable coefficients by using the homotopic mapping method. The obtained solutions may degenerate into the approximate solutions of hyperbolic function form and the a...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/593642 |
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| _version_ | 1850178007501635584 |
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| author | Dianchen Lu Tingting Chen Baojian Hong |
| author_facet | Dianchen Lu Tingting Chen Baojian Hong |
| author_sort | Dianchen Lu |
| collection | DOAJ |
| description | This work concerns how to find the double periodic form of approximate solutions of the perturbed combined KdV (CKdV) equation with variable coefficients by using the homotopic mapping method. The obtained solutions may degenerate into the approximate solutions of hyperbolic function form and the approximate solutions of trigonometric function form in the limit cases. Moreover, the first order approximate solutions and the second order approximate solutions of the variable coefficients CKdV equation in perturbation εun are also induced. |
| format | Article |
| id | doaj-art-bca12681cdc74b9d81f68a88bf318669 |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-bca12681cdc74b9d81f68a88bf3186692025-08-20T02:18:50ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/593642593642Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable CoefficientsDianchen Lu0Tingting Chen1Baojian Hong2Center of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaCenter of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaCenter of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaThis work concerns how to find the double periodic form of approximate solutions of the perturbed combined KdV (CKdV) equation with variable coefficients by using the homotopic mapping method. The obtained solutions may degenerate into the approximate solutions of hyperbolic function form and the approximate solutions of trigonometric function form in the limit cases. Moreover, the first order approximate solutions and the second order approximate solutions of the variable coefficients CKdV equation in perturbation εun are also induced.http://dx.doi.org/10.1155/2014/593642 |
| spellingShingle | Dianchen Lu Tingting Chen Baojian Hong Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients The Scientific World Journal |
| title | Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients |
| title_full | Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients |
| title_fullStr | Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients |
| title_full_unstemmed | Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients |
| title_short | Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients |
| title_sort | homotopic approximate solutions for the perturbed ckdv equation with variable coefficients |
| url | http://dx.doi.org/10.1155/2014/593642 |
| work_keys_str_mv | AT dianchenlu homotopicapproximatesolutionsfortheperturbedckdvequationwithvariablecoefficients AT tingtingchen homotopicapproximatesolutionsfortheperturbedckdvequationwithvariablecoefficients AT baojianhong homotopicapproximatesolutionsfortheperturbedckdvequationwithvariablecoefficients |