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Dynamics of solitons in plasmas for the complex KdV equation with power law nonlinearity |
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| Authors: | Anjan Biswas Essaid Zerrad |
| Institution: | a Center for Research and Education in Optical Sciences and Applications, Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901-2277, USA b Department of Physics and Pre-Engineering, Delaware State University, Dover, DE 19901-2277, USA c Department of Mathematics, Alabama A & M University, Normal, AL-35762, USA |
| Abstract: | This paper obtains the 1-soliton solution of the complex KdV equation with power law nonlinearity. The solitary wave ansatz is used to carry out the integration. The soliton perturbation theory for this equation is developed and the soliton cooling is observed for bright solitons. Finally, the dark soliton solution is also obtained for this equation. |
| Keywords: | Solitons Perturbation Dark solitons |
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