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.
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Official URL: http://dx.doi.org/10.1063/1.4995856
Abstract
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.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | KDV-burgers equation, periodic solution, shock wave solution |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 97162 |
| Deposited By: | Narimah Nawil |
| Deposited On: | 23 Sep 2022 01:54 |
| Last Modified: | 23 Sep 2022 01:54 |
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