Nonsingular positon and complexiton solutions for the coupled KdV system |
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| Institution: | 1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, PR China;2. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, PR China;3. Department of Physics, Ningbo University, Ningbo 315211, PR China |
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| Abstract: | Taking the coupled KdV system as a simple example, analytical and nonsingular complexiton solutions are firstly discovered in this Letter for integrable systems. Additionally, the analytical and nonsingular positon–negaton interaction solutions are also firstly found for S-integrable model. The new analytical positon, negaton and complexiton solutions of the coupled KdV system are given out both analytically and graphically by means of the iterative Darboux transformations. |
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