An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation
We consider the approximate solution of the coupled Schrödinger-KdV equation by using the extended optimal homotopy asymptotic method (OHAM). We obtained the extended OHAM solution of the problem and compared with the exact, variational iteration method (VIM) and homotopy perturbation method (HPM) s...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2014/106934 |
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| _version_ | 1832549770978131968 |
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| author | Hakeem Ullah Saeed Islam Muhammad Idrees Mehreen Fiza Zahoor Ul Haq |
| author_facet | Hakeem Ullah Saeed Islam Muhammad Idrees Mehreen Fiza Zahoor Ul Haq |
| author_sort | Hakeem Ullah |
| collection | DOAJ |
| description | We consider the approximate solution of the coupled Schrödinger-KdV equation by using the extended optimal homotopy asymptotic method (OHAM). We obtained the extended OHAM solution of the problem and compared with the exact, variational iteration method (VIM) and homotopy perturbation method (HPM) solutions. The obtained solution shows that extended OHAM is effective, simpler, easier, and explicit and gives a suitable way to control the convergence of the approximate solution. |
| format | Article |
| id | doaj-art-16b34e60444e47cab6205c9ec4b209fb |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-16b34e60444e47cab6205c9ec4b209fb2025-02-03T06:08:32ZengWileyInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/106934106934An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV EquationHakeem Ullah0Saeed Islam1Muhammad Idrees2Mehreen Fiza3Zahoor Ul Haq4Department of Mathematics, Abdul Wali Khan University Mardan, 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, 23200, PakistanWe consider the approximate solution of the coupled Schrödinger-KdV equation by using the extended optimal homotopy asymptotic method (OHAM). We obtained the extended OHAM solution of the problem and compared with the exact, variational iteration method (VIM) and homotopy perturbation method (HPM) solutions. The obtained solution shows that extended OHAM is effective, simpler, easier, and explicit and gives a suitable way to control the convergence of the approximate solution.http://dx.doi.org/10.1155/2014/106934 |
| spellingShingle | Hakeem Ullah Saeed Islam Muhammad Idrees Mehreen Fiza Zahoor Ul Haq An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation International Journal of Differential Equations |
| title | An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation |
| title_full | An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation |
| title_fullStr | An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation |
| title_full_unstemmed | An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation |
| title_short | An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation |
| title_sort | extension of the optimal homotopy asymptotic method to coupled schrodinger kdv equation |
| url | http://dx.doi.org/10.1155/2014/106934 |
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