| 2+1-维变系数广义Kadomtsev-Petviashvili方程的相似约化 |
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| 引用本文： | 闫振亚,张鸿庆.2+1-维变系数广义Kadomtsev-Petviashvili方程的相似约化[J].应用数学和力学,2000,21(6):585-589. |
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| 作者姓名： | 闫振亚 张鸿庆 |
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| 作者单位： | 大连理工大学数学科学研究所, 大连 116024 |
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| 基金项目： | 国家自然科学基金!资助项目 (19572 0 2 2 )，国家攀登计划基金 |
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| 摘 要： | 借助于MATHEMATICA软件,将直接约化法推广并应用到2+1-维变系数广义Kadomtsev-Petviashvili(VCGKP)方程,获得了VCGKP方程的若干相似约化,其中包括PainleveⅠ型、PainleveⅡ型和PainleveⅣ型的约化.
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| 关 键 词： | 变系数广义Kadomtsev-Petviashvili方程 直接约化法 相似约化 |
| 收稿时间： | 1999-03-02 |
| 修稿时间： | 1999-03-02 |
Similarity Reductions for 2+1-Dimensional Variable Coefficient Generalized Kadomtsev-Petviashvili Equation |
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| Yan Zhenya,Zhang Hongqing.Similarity Reductions for 2+1-Dimensional Variable Coefficient Generalized Kadomtsev-Petviashvili Equation[J].Applied Mathematics and Mechanics,2000,21(6):585-589. |
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| Authors: | Yan Zhenya Zhang Hongqing |
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| Institution: | Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, P R China |
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| Abstract: | With the aid of MATHEMATICA,the direct reduction method was extended and applied in 2+1-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation(VCGKPE).As a result,several kinds of similarity reductions for VCGKPE are obtained which contain PainleveⅠ,Painleve Ⅱ and PainleveⅣ reductions. |
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| Keywords: | variable coefficient generalized Kadomtsev_Petviashvili equation direct reduction method similarity reduction |
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