| (2+1)维Davey-Stewartson方程新的精确解 |
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| 引用本文： | 杨耕文.(2+1)维Davey-Stewartson方程新的精确解[J].河南师范大学学报(自然科学版),2010,38(4). |
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| 作者姓名： | 杨耕文 |
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| 作者单位： | 洛阳理工学院,数理部,河南,洛阳,71023 |
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| 摘 要： | 在辅助方程的基础上构建了一种新的形式解,并利用符号计算系统Mathematica,求得(2+1)维Dav-ey-Stewartson方程的精确解,其中包括双曲函数解,椭圆函数解以及复孤波解.
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| 关 键 词： | 辅助方程 精确解 新的形式解 (2+1)维Davey-Stewartson方程 |
New Exact Solutions to the (2+1)-Dimensional Davey-Stewartson Equations |
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| YANG Geng-wen.New Exact Solutions to the (2+1)-Dimensional Davey-Stewartson Equations[J].Journal of Henan Normal University(Natural Science),2010,38(4). |
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| Authors: | YANG Geng-wen |
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| Abstract: | In the paper,the main purpose of our method is to solve the(2+1)-dimensional Davey-Stewartson equations.The basic idea is,on the base of auxiliary equation,to construct new formal solutions and to take advantage of Mathematica to get the exact solutions,including the hyperbolic function solutions,the Jacobi elliptic function solutions and comlpex solitary solutions. |
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| Keywords: | auxiliary equation exact solutions new formal solutions the(2+1)-dimensional Davey-Stewartson equations |
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