| 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. |
| 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 |
| DOI： |
| 投稿时间：2006-06-26 |
| 基金项目: |
|
| Stochastic Like-soliton Solutions to Generalized Stochastic KdV and mKdV Equations |
|
WEI Cai-min
|
| (Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, China) |
| 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. |
| Key words: differential equation KdV equation stochastic like-soliton solution Hermite transformation truncated expansion method extended homogeneous balance method |
