| 一类Wick型随机KdV-MKdV方程的白噪声泛函解 |
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| 引用本文： | 朱宏,刘雄.一类Wick型随机KdV-MKdV方程的白噪声泛函解[J].山东大学学报(理学版),2008,43(5):45-49. |
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| 作者姓名： | 朱宏 刘雄 |
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| 作者单位： | 1. 广东食品药品职业学院,广东,广州,510520
2. 湛江师范学院数学与计算科学学院,广东,湛江,524048 |
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| 摘 要： | 利用埃尔米特变换求出了Wick类型的随机广义KdV-MKdV方程的精确解,这种方法的基本思想是通过埃尔米特变换把Wick类型的随机广义KdV-MKdV方程变成广义系数KdV,利用一种变换方法求出方程的精确解,然后通过埃尔米特的逆变换求出方程的精确解。
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| 关 键 词： | Wick类型的随机广义KdV-MKdV方程 随机精确解 白色噪音 埃尔米特变换 |
| 文章编号： | 1671-9352(2008)05-0045-05 |
| 修稿时间： | 2008年1月24日 |
White noise functional solutions of a Wick-type stochastic KdV-MKdV equation |
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| ZHU Hong,LIU Xiong.White noise functional solutions of a Wick-type stochastic KdV-MKdV equation[J].Journal of Shandong University,2008,43(5):45-49. |
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| Authors: | ZHU Hong LIU Xiong |
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| Institution: | 1. Guangdong Food and Drug Vocational College, Guangzhou 510520, Guangdong, China； 2. School of Mathematics and Computational Science, Zhanjiang Normal College, Zhanjiang 524048, Guangdong, China |
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| Abstract: | The basic theory of utilizing Almeter transformation to get the exact solution to Wick-typed stochastic general KdV-MKdV equations set is as follows: first, the Wick-typed stochastic general KdV-MKdV equations set was changed into general coefficient KdV equations set by Almeter transformation; then, the exact solution to the KdV equations set was obtained by the methods of a special transformation; finally, the exact solution to the original equations set was obtained by the Almeter inverse transformation. |
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| Keywords: | Wick-typed elliptical stochastic general KdV-MKdV equations stochastic exact solution white noise Almeter transformation |
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