A semidiscrete Gardner equation |
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| Authors: | Haiqiong Zhao Zuonong Zhu |
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| Affiliation: | 1. Business Information Management School, Shanghai University of International Business and Economics, Shanghai 201620, China; 2. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China |
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| Abstract: | We construct the Darboux transformations, exact solutions, and infinite number of conservation laws for a semidiscrete Gardner equation. A special class of solutions of the semidiscrete equation, called table-top solitons, are given. The dynamical properties of these solutions are also discussed. |
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| Keywords: | Semidiscrete Gardner equation Darboux transformation exact solution |
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