Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations
In this study, the Daftardar–Jeffery polynomials are incorporated in the homotopy of the optimal homotopy asymptotic method (OHAM) for solving the generalized Hirota–Satsuma coupled system of Korteweg–de Vries equations. The results are displayed through graphs and tables. The results obtained in th...
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-12-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2020-0210 |
| _version_ | 1818667151112798208 |
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| author | Hussain Zawar Khan Shahid Ullah Asad Ikramullah Ayaz Muhammad Ahmad Imtiaz Mashwani Wali Khan Chu Yu-Ming |
| author_facet | Hussain Zawar Khan Shahid Ullah Asad Ikramullah Ayaz Muhammad Ahmad Imtiaz Mashwani Wali Khan Chu Yu-Ming |
| author_sort | Hussain Zawar |
| collection | DOAJ |
| description | In this study, the Daftardar–Jeffery polynomials are incorporated in the homotopy of the optimal homotopy asymptotic method (OHAM) for solving the generalized Hirota–Satsuma coupled system of Korteweg–de Vries equations. The results are displayed through graphs and tables. The results obtained in this study are also compared with the published work on OHAM, which shows that OHAM-DJ is more explicit, reliable, and an efficient analytical technique. The exactness of the developed method can be improved by performing the higher iterations. |
| first_indexed | 2024-12-17T06:15:52Z |
| format | Article |
| id | doaj.art-e1b812359d8d40f6afc1f251f553e004 |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-12-17T06:15:52Z |
| publishDate | 2020-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-e1b812359d8d40f6afc1f251f553e0042022-12-21T22:00:30ZengDe GruyterOpen Physics2391-54712020-12-0118191692410.1515/phys-2020-0210phys-2020-0210Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equationsHussain Zawar0Khan Shahid1Ullah Asad2Ikramullah3Ayaz Muhammad4Ahmad Imtiaz5Mashwani Wali Khan6Chu Yu-Ming7Department of Mathematics, Abdul Wali Khan UniversityMardan, K.P., PakistanInstitute of Numerical Science, Kohat University of Sciences and Technology, KUST, 26000 K.P., PakistanInstitute of Numerical Science, Kohat University of Sciences and Technology, KUST, 26000 K.P., PakistanDepartment of Physics, Kohat University of Sciences and Technology, KUST, 26000 K.P., PakistanDepartment of Mathematics, Abdul Wali Khan UniversityMardan, K.P., PakistanDepartment of Mathematics, University of Swabi, K.P., PakistanInstitute of Numerical Science, Kohat University of Sciences and Technology, KUST, 26000 K.P., PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, People’s Republic of ChinaIn this study, the Daftardar–Jeffery polynomials are incorporated in the homotopy of the optimal homotopy asymptotic method (OHAM) for solving the generalized Hirota–Satsuma coupled system of Korteweg–de Vries equations. The results are displayed through graphs and tables. The results obtained in this study are also compared with the published work on OHAM, which shows that OHAM-DJ is more explicit, reliable, and an efficient analytical technique. The exactness of the developed method can be improved by performing the higher iterations.https://doi.org/10.1515/phys-2020-0210optimal homotopy asymptotic methodoham-djgeneralized hirota–satsuma coupled system of kdv equations |
| spellingShingle | Hussain Zawar Khan Shahid Ullah Asad Ikramullah Ayaz Muhammad Ahmad Imtiaz Mashwani Wali Khan Chu Yu-Ming Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations Open Physics optimal homotopy asymptotic method oham-dj generalized hirota–satsuma coupled system of kdv equations |
| title | Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations |
| title_full | Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations |
| title_fullStr | Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations |
| title_full_unstemmed | Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations |
| title_short | Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations |
| title_sort | extension of optimal homotopy asymptotic method with use of daftardar jeffery polynomials to hirota satsuma coupled system of korteweg de vries equations |
| topic | optimal homotopy asymptotic method oham-dj generalized hirota–satsuma coupled system of kdv equations |
| url | https://doi.org/10.1515/phys-2020-0210 |
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