| （2＋1）维Wick型随机ANNV系统的白噪声泛函解 |
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| 引用本文： | 汪先坤. （2＋1）维Wick型随机ANNV系统的白噪声泛函解[J]. 淮阴师范学院学报(自然科学版), 2011, 10(3): 189-192,200 |
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| 作者姓名： | 汪先坤 |
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| 作者单位： | 徐州师范大学数学科学学院,江苏徐州,221116 |
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| 基金项目： | 国家自然科学基金资助项目(10971180); 徐州师范大学研究生科研创新计划资助项目(2010YLB020) |
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| 摘 要： | 在Kondratiev分布空间（S）-1中,利用Hermite变换研究截断展开法求解随机可积系统的问题,分别得到了（2＋1）维Wick型随机ANNV孤子系统与（2＋1）维变系数ANNV孤子系统的白噪声泛函解和显式精确解.
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| 关 键 词： | (2+1)维Wick型随机ANNV系统 截断展开法 Hermite变换 白噪声泛函解 |
White Noise Functional Solutions of (2+1)-Dimensional Wick-type Stochastic ANNV System |
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| WANG Xian-kun. White Noise Functional Solutions of (2+1)-Dimensional Wick-type Stochastic ANNV System[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2011, 10(3): 189-192,200 |
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| Authors: | WANG Xian-kun |
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| Affiliation: | WANG Xian-kun(School of Mathematical Science,Xuzhou Normal University,Xuzhou Jiangsu 221116,China) |
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| Abstract: | In this paper,by using Hermite transform on the Kondratiev distribution space(S)-1 and the truncated expansion method,the problem of solving random intergrable system is studied,the Wick versions of white noise functional solutions for(2+1)-dimensional Wick-type stochastic ANNV system and explicit exact solutions for(2+1)-dimensional ANNV system with variable coefficients are obtained,respectively. |
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| Keywords: | (2 1)-dimensional ick-type stochastic ANNV system hermite transform truncated expansion method white noise functional solutions |
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