Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method
In this paper, tanh-coth method was applied to derive the exact travelling wave solutions to the Korteweg-de-Vries and Burgers equation with forcing term(fKDVB). Solutions that are linear combination of solitary and shock wave solutions, and periodic wave solutions are obtained, by reducing the equa...
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| Format: | Conference or Workshop Item |
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2017
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| author | Chukkol, Yusuf Buba Mohamad, Mohd. Nor Muminov, Mukhiddin I. |
| author_facet | Chukkol, Yusuf Buba Mohamad, Mohd. Nor Muminov, Mukhiddin I. |
| author_sort | Chukkol, Yusuf Buba |
| collection | ePrints |
| description | In this paper, tanh-coth method was applied to derive the exact travelling wave solutions to the Korteweg-de-Vries and Burgers equation with forcing term(fKDVB). Solutions that are linear combination of solitary and shock wave solutions, and periodic wave solutions are obtained, by reducing the equation to the homogeneous type using a wave transformation. The method with the help of symbolic computation tool box provides a systematic way of solving many physical models involving nonlinear partial differential equations in mathematical physics. |
| first_indexed | 2024-03-05T21:11:06Z |
| format | Conference or Workshop Item |
| id | utm.eprints-97162 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T21:11:06Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | utm.eprints-971622022-09-23T01:54:23Z http://eprints.utm.my/97162/ Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method Chukkol, Yusuf Buba Mohamad, Mohd. Nor Muminov, Mukhiddin I. QA Mathematics In this paper, tanh-coth method was applied to derive the exact travelling wave solutions to the Korteweg-de-Vries and Burgers equation with forcing term(fKDVB). Solutions that are linear combination of solitary and shock wave solutions, and periodic wave solutions are obtained, by reducing the equation to the homogeneous type using a wave transformation. The method with the help of symbolic computation tool box provides a systematic way of solving many physical models involving nonlinear partial differential equations in mathematical physics. 2017 Conference or Workshop Item PeerReviewed Chukkol, Yusuf Buba and Mohamad, Mohd. Nor and Muminov, Mukhiddin I. (2017) Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method. In: 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016, 27 - 29 September 2016, Kuala Terengganu, Terengganu. http://dx.doi.org/10.1063/1.4995856 |
| spellingShingle | QA Mathematics Chukkol, Yusuf Buba Mohamad, Mohd. Nor Muminov, Mukhiddin I. Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method |
| title | Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method |
| title_full | Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method |
| title_fullStr | Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method |
| title_full_unstemmed | Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method |
| title_short | Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method |
| title_sort | exact solutions to the kdv burgers equation with forcing term using tanh coth method |
| topic | QA Mathematics |
| work_keys_str_mv | AT chukkolyusufbuba exactsolutionstothekdvburgersequationwithforcingtermusingtanhcothmethod AT mohamadmohdnor exactsolutionstothekdvburgersequationwithforcingtermusingtanhcothmethod AT muminovmukhiddini exactsolutionstothekdvburgersequationwithforcingtermusingtanhcothmethod |