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Topological exact soliton solution of the power law KdV equation |
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| Authors: | Anjan Biswas Marko D Petkovi? |
| Institution: | a Center for Research and Education in Optical Sciences and Applications, Applied Mathematics Research Center, Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA b Faculty of Science and Mathematics, Department of Mathematics and Computer Science, University of Niš, Višegradska 33, 18000 Niš, Serbia c Faculty of Electronic Engineering, Department of Telecommunications, University of Niš, Aleksandra Medvedeva 14, 18000 Niš, Serbia |
| Abstract: | This paper obtains the exact 1-soliton solution of the perturbed Korteweg-de Vries equation with power law nonlinearity. The topological soliton solutions are obtained. The solitary wave ansatz is used to carry out this integration. The domain restrictions are identified in the process and the parameter constraints are also obtained. It has been proved that topological solitons exist only when the KdV equation with power law nonlinearity reduces to simply KdV equation. |
| Keywords: | Solitons Integrability Perturbations |
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