|
|||||
|
|
1-Soliton solution of the complex KdV equation in plasmas with power law nonlinearity and time-dependent coefficients |
|
| Authors: | Sami Atif Anjan Biswas |
| Institution: | a Applied Mathematics Research Center, Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA b Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Serbia c Applied Mathematics Research Center, Center for Research and Education in Optical Sciences and Applications, Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA |
| Abstract: | In this paper, the complex Korteweg-de Vries equation with power law nonlinearity is studied in presence of perturbation terms. The exact 1-soliton solution is obtained. It will be seen that the time-dependent coefficients must be simply Riemann integrable for the solitons to exist. The solitary wave ansatz is used to carry out the integration. |
| Keywords: | Complex KdV equation Solitons Perturbations Integrability |
| 本文献已被 ScienceDirect 等数据库收录！ | |