| New interaction solutions of the Kadomtsev–Petviashvili equation |
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| 引用本文： | 刘希忠,俞军,任博,杨建荣.New interaction solutions of the Kadomtsev–Petviashvili equation[J].中国物理 B,2014(10):5-10. |
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| 作者姓名： | 刘希忠 俞军 任博 杨建荣 |
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| 作者单位： | Institute of Nonlinear Science, Shaoxing University;Department of Physics and Electronics, Shangrao Normal University |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant Nos.11347183,11275129,11305106,11405110,and 11365017);the Natural Science Foundation of Zhejiang Province of China(Grant Nos.Y7080455 and LQ13A050001) |
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| 摘 要： | The residual symmetry relating to the truncated Painlev′e expansion of the Kadomtsev–Petviashvili(KP) equation is nonlocal, which is localized in this paper by introducing multiple new dependent variables. By using the standard Lie group approach, new symmetry reduction solutions for the KP equation are obtained based on the general form of Lie point symmetry for the prolonged system. In this way, the interaction solutions between solitons and background waves are obtained, which are hard to find by other traditional methods.
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| 关 键 词： | KP方程 交互 李群方法 使用标准 一般形式 时间系统 相互作用 对称性 |
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