| 广义Davey-Stewartson方程组的整体解及自相似解 |
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| 引用本文： | 赵向青.广义Davey-Stewartson方程组的整体解及自相似解[J].数学进展,2007,36(5):579-585. |
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| 作者姓名： | 赵向青 |
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| 作者单位： | 中山大学数学系,广州,广东,510275 |
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| 摘 要： | 本文研究Dalvey-Stewartson方程组的整体解与自相似解的存在性.首先,运用Ba- nach不动点定理得到一个关于解整体存在性的一般性定理,然后把一类特殊的初始值用到该存在性结果上去从而得到自相似解存在的结论.
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| 关 键 词： | Davey-Stewartson方程组 整体解 自相似解 |
| 文章编号： | 1000-0917（2007）05-0579-07 |
| 修稿时间： | 2006-11-13 |
Global Solutions and Self-similar Solutions for Generalized Davey-Stewartson System |
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| ZHAO Xiangqing.Global Solutions and Self-similar Solutions for Generalized Davey-Stewartson System[J].Advances in Mathematics,2007,36(5):579-585. |
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| Authors: | ZHAO Xiangqing |
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| Institution: | Department of Mathematics, Sun Yat-Sen University, Guangzhou, Guangdong, 510275, P. R. China |
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| Abstract: | In this paper we study the existence of global small solutions and self-similar solutions for the generalized Davey-Stewartson system.We first use the Banach fixed point theorem to establish a general global existence theorem.By using this general result to a class of special initial data we deduce that the generalized Davey-Stewartson system allow self-similar solutions. |
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| Keywords: | Davey-Stewartson system global solutions self-similar solutions |
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