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Dark solitons for a combined potential KdV and Schwarzian KdV equations with t-dependent coefficients and forcing term |
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| Authors: | Houria TrikiAbdul-Majid Wazwaz |
| Institution: | a Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria b Department of Mathematics, Saint Xavier University, Chicago, IL 60655, United States |
| Abstract: | In this work we formally derive the dark soliton solutions for the combined potential KdV and Schwarzian KdV equations. The combined KdV and Schwarzian KdV equations with time-dependent coefficients and forcing term are then investigated to obtain dark soliton solutions. The solitary wave ansatz is used to carry out the analysis for both models. |
| Keywords: | Potential KdV equation Schwarzian KdV equation Solitary wave ansatz |
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