Solution of the Davey–Stewardson equation using homotopuy analysis method
In this paper, the homotopy analysis method (HAM) proposed by Liao is adopted for solving Davey–Stewartson (DS) equations which arise as higher dimensional generalizations of the nonlinear Schrödinger (NLS) equation. The results obtained by HAM have been compared with the exact solutions and homotop...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2010-10-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14313 |
| _version_ | 1818367007268012032 |
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| author | H. Jafari M. Alipour |
| author_facet | H. Jafari M. Alipour |
| author_sort | H. Jafari |
| collection | DOAJ |
| description | In this paper, the homotopy analysis method (HAM) proposed by Liao is adopted for solving Davey–Stewartson (DS) equations which arise as higher dimensional generalizations of the nonlinear Schrödinger (NLS) equation. The results obtained by HAM have been compared with the exact solutions and homotopy perturbation method (HPM) to show the accuracy of the method. Comparisons indicate that there is a very good agreement between the HAM solutions and the exact solutions in terms of accuracy. |
| first_indexed | 2024-12-13T22:45:12Z |
| format | Article |
| id | doaj.art-5d4e2e00de5b4435a00e692819afe42c |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T22:45:12Z |
| publishDate | 2010-10-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-5d4e2e00de5b4435a00e692819afe42c2022-12-21T23:28:44ZengVilnius University PressNonlinear Analysis1392-51132335-89632010-10-0115410.15388/NA.15.4.14313Solution of the Davey–Stewardson equation using homotopuy analysis methodH. Jafari0M. Alipour1University of Mazandaran, IranUniversity of Mazandaran, IranIn this paper, the homotopy analysis method (HAM) proposed by Liao is adopted for solving Davey–Stewartson (DS) equations which arise as higher dimensional generalizations of the nonlinear Schrödinger (NLS) equation. The results obtained by HAM have been compared with the exact solutions and homotopy perturbation method (HPM) to show the accuracy of the method. Comparisons indicate that there is a very good agreement between the HAM solutions and the exact solutions in terms of accuracy.http://www.journals.vu.lt/nonlinear-analysis/article/view/14313homotopy analysis methodDavey–Stewartson equations |
| spellingShingle | H. Jafari M. Alipour Solution of the Davey–Stewardson equation using homotopuy analysis method Nonlinear Analysis homotopy analysis method Davey–Stewartson equations |
| title | Solution of the Davey–Stewardson equation using homotopuy analysis method |
| title_full | Solution of the Davey–Stewardson equation using homotopuy analysis method |
| title_fullStr | Solution of the Davey–Stewardson equation using homotopuy analysis method |
| title_full_unstemmed | Solution of the Davey–Stewardson equation using homotopuy analysis method |
| title_short | Solution of the Davey–Stewardson equation using homotopuy analysis method |
| title_sort | solution of the davey stewardson equation using homotopuy analysis method |
| topic | homotopy analysis method Davey–Stewartson equations |
| url | http://www.journals.vu.lt/nonlinear-analysis/article/view/14313 |
| work_keys_str_mv | AT hjafari solutionofthedaveystewardsonequationusinghomotopuyanalysismethod AT malipour solutionofthedaveystewardsonequationusinghomotopuyanalysismethod |