Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation
We introduce the variational iteration method for solving the generalized Degasperis-Procesi equation. Firstly, according to the variational iteration, the Lagrange multiplier is found after making the correction functional. Furthermore, several approximations of un+1(x,t) which is converged to u(x,...
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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/10.1155/2014/629434 |
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| _version_ | 1849696039740637184 |
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| author | Qian Lijuan Tian Lixin Ma Kaiping |
| author_facet | Qian Lijuan Tian Lixin Ma Kaiping |
| author_sort | Qian Lijuan |
| collection | DOAJ |
| description | We introduce the variational iteration method for solving the generalized Degasperis-Procesi equation. Firstly, according to the variational iteration, the Lagrange multiplier is found after making the correction functional. Furthermore, several approximations of un+1(x,t) which is converged to u(x,t) are obtained, and the exact solutions of Degasperis-Procesi equation will be obtained by using the traditional variational iteration method with a suitable initial approximation u0(x,t). Finally, after giving the perturbation item, the approximate solution for original equation will be expressed specifically. |
| format | Article |
| id | doaj-art-c96bfab0b3df4d74afed0c74e9777727 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c96bfab0b3df4d74afed0c74e97777272025-08-20T03:19:34ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/629434629434Variational Iteration Method for Solving the Generalized Degasperis-Procesi EquationQian Lijuan0Tian Lixin1Ma Kaiping2Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province 212013, ChinaNanjing Normal University, Nanjing, Jiangsu Province 210097, ChinaCollege of Engineering, Nanjing Agricultural University, Nanjing, Jiangsu Province 210031, ChinaWe introduce the variational iteration method for solving the generalized Degasperis-Procesi equation. Firstly, according to the variational iteration, the Lagrange multiplier is found after making the correction functional. Furthermore, several approximations of un+1(x,t) which is converged to u(x,t) are obtained, and the exact solutions of Degasperis-Procesi equation will be obtained by using the traditional variational iteration method with a suitable initial approximation u0(x,t). Finally, after giving the perturbation item, the approximate solution for original equation will be expressed specifically.http://dx.doi.org/10.1155/2014/629434 |
| spellingShingle | Qian Lijuan Tian Lixin Ma Kaiping Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation Abstract and Applied Analysis |
| title | Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation |
| title_full | Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation |
| title_fullStr | Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation |
| title_full_unstemmed | Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation |
| title_short | Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation |
| title_sort | variational iteration method for solving the generalized degasperis procesi equation |
| url | http://dx.doi.org/10.1155/2014/629434 |
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