| Rogue wave solutions and rogue-breather solutions to the focusing nonlinear Schr?dinger equation |
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| 作者姓名： | Si-Jia Chen Xing Lü |
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| 作者单位： | 1. College of Science, Tianjin University of Technology;2. Department of Mathematics, Beijing Jiaotong University;3. Beijing Laboratory of National Economic Security Early-warning Engineering, Beijing Jiaotong University |
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| 基金项目： | supported by the National Natural Science Foundation of China under Grant No. 12275017； |
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| 摘 要： | Based on the long wave limit method, the general form of the second-order and third-order rogue wave solutions to the focusing nonlinear Schr?dinger equation are given by introducing some arbitrary parameters. The interaction solutions between the first-order rogue wave and one-breather wave are constructed by taking a long wave limit on the two-breather solutions. By applying the same method to the three-breather solutions, two types of interaction solutions are obtained, namely the first-order...
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