| Wick类型随机广义Kdv MKdv方程的精确解 |
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| 引用本文： | 黄伟祥,宋先发.Wick类型随机广义Kdv MKdv方程的精确解[J].吉林大学学报(理学版),2007,45(4):529-534. |
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| 作者姓名： | 黄伟祥 宋先发 |
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| 作者单位： | 1. 广东水利电力职业技术学院 数学部， 广州 510635; 2. 清华大学 应用数学系, 北京 100084 |
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| 摘 要： | 通过埃尔米特变换将Wick类型的随机广义Kdv MKdv方程变成广义系数Kdv MKdv方程, 利用截断展开法求出广义系数Kdv MKdv方程的精确解, 并通过埃尔米特逆变换得到了随机广义Kdv MKdv方程的精确解.
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| 关 键 词： | 随机广义Kdv MKdv方程 随机精确解 白色噪音 截断展开法 埃尔米特变换 |
| 文章编号： | 1671-5489（2007）04-0529-06 |
| 收稿时间： | 2006-11-16 |
| 修稿时间： | 2006-11-16 |
Exact Solutions for Wick-type Stochastic Generalized Kdv-MKdv Equation |
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| HUANG Wei-xiang,SONG Xian-fa.Exact Solutions for Wick-type Stochastic Generalized Kdv-MKdv Equation[J].Journal of Jilin University: Sci Ed,2007,45(4):529-534. |
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| Authors: | HUANG Wei-xiang SONG Xian-fa |
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| Institution: | 1. Department of Mathematics Teaching, Guangdong Technical College of Water Resources and Electric Engineering, Guangzhou 510635, China; 2. Department of Applied Mathematics, Tsinghua University, Beijing 100084, China |
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| Abstract: | By means of Hermite transformation, the Wick-type stochastic generalized Kdv-MKdv equation was reduced to stochastic coefficient equation, then some stochastic exact solutions were obtainable via the truncation expansion method and Hermite inverse transformation. |
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| Keywords: | stochastic generalized Kdv-MKdv equation stochastic exact solution white noise truncation expansion method Hermite transformation |
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