| Similarity Reductions and Similarity Solutions of the （3＋1）-Dimensional Kadomtsev-Petviashvili Equation |
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| 引用本文： | 刘娜,刘希强. Similarity Reductions and Similarity Solutions of the （3＋1）-Dimensional Kadomtsev-Petviashvili Equation[J]. 中国物理快报, 2008, 25(10): 3527-3530 |
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| 作者姓名： | 刘娜 刘希强 |
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| 作者单位： | School of Mathematical Sciences, Liaocheng University, Liaocheng 252059 |
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| 基金项目： | Supported by the Natural Science Foundation of Shandong Province under Grant No Q2005A01. |
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| 摘 要： | Employing the compatibility method, we obtain the symmetries of the （3＋1）-dimensional Kadomtsev Petviashvili （KP） equation. Four types of similarity reductions of the KP equation are obtained by solving the corresponding characteristic equations associated with symmetry equations. In addition, a lot of similarity solutions to the KP equation are obtadned.
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| 关 键 词： | (3+1)维KP方程 相似归纳 相似解 数学物理方法 |
| 收稿时间： | 2008-06-25 |
Similarity Reductions and Similarity Solutions of the (3+1)-Dimensional Kadomtsev--Petviashvili Equation |
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| LIU Na,LIU Xi-Qiang. Similarity Reductions and Similarity Solutions of the (3+1)-Dimensional Kadomtsev--Petviashvili Equation[J]. Chinese Physics Letters, 2008, 25(10): 3527-3530 |
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| Authors: | LIU Na LIU Xi-Qiang |
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| Affiliation: | School of Mathematical Sciences, Liaocheng University, Liaocheng 252059 |
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| Abstract: | Employing the compatibility method, we obtain the symmetries of the (3+1)-dimensional Kadomtsev--Petviashvili (KP) equation. Four types of similarity reductions of the KP equation are obtained by solving the corresponding characteristic equations associated with symmetry equations. In addition, a lot of similarity solutions to the KP equation are obtained. |
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| Keywords: | 02.30.Jr 05.45.Yv |
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