| 广义随机KdV和mKdV方程的随机类孤子解 |
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| 引用本文： | 韦才敏. 广义随机KdV和mKdV方程的随机类孤子解[J]. 广西科学, 2007, 14(2): 87-90 |
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| 作者姓名： | 韦才敏 |
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| 作者单位： | 汕头大学数学系,广东汕头,515063 |
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| 摘 要： | 通过Hermite变换把Wick-类型的广义随机KdV方程和广义随机mKdV方程变成普通的KdV方程,利用截断展开法和延拓齐次平衡法求出方程的解,然后通过Hermite的逆变换求出相应方程的随机钟状类孤子解.
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| 关 键 词： | 微分方程 KdV方程 随机 类孤子解 Hermite变换 截断展开法 延拓齐次平衡法 |
| 文章编号： | 1005-9164（2007）02-0087-04 |
| 收稿时间： | 2006-06-26 |
| 修稿时间： | 2006-06-26 |
Stochastic Like-soliton Solutions to Generalized Stochastic KdV and mKdV Equations |
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| WEI Cai-min. Stochastic Like-soliton Solutions to Generalized Stochastic KdV and mKdV Equations[J]. Guangxi Sciences, 2007, 14(2): 87-90 |
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| Authors: | WEI Cai-min |
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| Affiliation: | Department of Mathematics ,Shantou University ,Shantou ,Guangdong, 515063 ,China |
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| Abstract: | In this paper,stochastic like-soliton solutions for the generalized stochastic KdV and mKdV equations are obtained via the Hermite transformation,truncated expansion method and extended homogeneous balance method.And some bell like-soliton solutions of these equations are given by inversion Hermite transformation. |
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| Keywords: | differential equation KdV equation stochastic like-soliton solution Hermite transformation truncated expansion method extended homogeneous balance method |
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