Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method
We study two-component evolutionary systems of a homogeneous KdV equations of second and third order. The homotopy analysis method (HAM) is used for analytical treatment of these systems. The auxiliary parameter h of HAM is freely chosen from the stability region of the h-curve obtained for each pro...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/569098 |
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| _version_ | 1832566916627038208 |
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| author | Mohammed Ali Marwan Alquran Mahmoud Mohammad |
| author_facet | Mohammed Ali Marwan Alquran Mahmoud Mohammad |
| author_sort | Mohammed Ali |
| collection | DOAJ |
| description | We study two-component evolutionary systems of a homogeneous KdV equations of second and third order. The homotopy analysis method (HAM) is used for analytical treatment of these systems. The auxiliary parameter h of HAM is freely chosen from the stability region of the h-curve obtained for each proposed system. |
| format | Article |
| id | doaj-art-b7b5220292d042bbbd1751702b82ee41 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b7b5220292d042bbbd1751702b82ee412025-02-03T01:02:54ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/569098569098Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis MethodMohammed Ali0Marwan Alquran1Mahmoud Mohammad2Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanDepartment of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanDepartment of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanWe study two-component evolutionary systems of a homogeneous KdV equations of second and third order. The homotopy analysis method (HAM) is used for analytical treatment of these systems. The auxiliary parameter h of HAM is freely chosen from the stability region of the h-curve obtained for each proposed system.http://dx.doi.org/10.1155/2012/569098 |
| spellingShingle | Mohammed Ali Marwan Alquran Mahmoud Mohammad Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method Journal of Applied Mathematics |
| title | Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method |
| title_full | Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method |
| title_fullStr | Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method |
| title_full_unstemmed | Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method |
| title_short | Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method |
| title_sort | solitonic solutions for homogeneous kdv systems by homotopy analysis method |
| url | http://dx.doi.org/10.1155/2012/569098 |
| work_keys_str_mv | AT mohammedali solitonicsolutionsforhomogeneouskdvsystemsbyhomotopyanalysismethod AT marwanalquran solitonicsolutionsforhomogeneouskdvsystemsbyhomotopyanalysismethod AT mahmoudmohammad solitonicsolutionsforhomogeneouskdvsystemsbyhomotopyanalysismethod |