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The generalized Wronskian solutions of a inverse KdV hierarchy |
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| Authors: | YuQing Liu DengYuan ChenChao Hu |
| Institution: | a College of Sciences, Shanghai University, Shanghai 200444, PR China b School of Physics and Mathematics, Changzhou University, ChangZhou 213164, PR China |
| Abstract: | A hierarchy of the inverse KdV equation is discussed. Through the bilinear form of Lax pairs, we prove a generalized Darboux-Crum theorem of the hierarchy. The Bäcklund transformation and the generalized Wronskian solutions are presented. The soliton solutions, explicit rational solutions are obtained then. |
| Keywords: | Inverse KdV equation Darboux-Crum theorem Bä cklund transformation Generalized Wronskian solutions Soliton solutions Rational solutions |
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