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Solitary wave and shock wave solutions to a second order wave equation of Korteweg-de Vries type |
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| Authors: | Houria TrikiT Hayat Omar M AldossaryAnjan Biswas |
| Institution: | a Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 2300 Annaba, Algeria b Department of Mathematics, Qaid-i-Azam University, Islamabad-44000, Pakistan c Department of Physics, King Saud University, P.O. Box 2455, Riyadh-11451, Saudi Arabia d Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA |
| Abstract: | This paper obtains the solitary wave as well as the shock wave solutions to the second order wave equation of Korteweg-de Vries type that was first proposed in 2002. The ansatz method is used to retrieve these solutions. The domain restrictions as well as the parameter regimes are all identified in the process of obtaining the solution. |
| Keywords: | Evolution equations Solitons Integrability |
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