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Explicit solutions to the coupled KdV equations with variable coefficients |
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| Authors: | Xu Gui-qiong Li Zhi-bin |
| Affiliation: | Department of Information Administration, Shanghai University, Shanghai 201800, P.R.China；;Department of Computer Science, East China Normal University, Shanghai 200062, P.R.China |
| Abstract: | By means of sn-function expansion method and cn-function expansion method, several kinds of explicit solutions to the coupled KdV equations with variable coefficients are obtained, which include three sets of periodic wave-like solutions. These solutions degenerate to solitary wave-like solutions at a certain limit. Some new solutions are presented. |
| Keywords: | cn-function method sn-function method periodic wave-like solution solitary wave-like solution coupled KdV equations with variable coefficient |
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