| (n+1)维Wick型随机Chaffee-Infante方程的精确解(英文) |
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| 引用本文： | 汪先坤,石常博.(n+1)维Wick型随机Chaffee-Infante方程的精确解(英文)[J].徐州师范大学学报(自然科学版),2011,29(2):50-52,60. |
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| 作者姓名： | 汪先坤 石常博 |
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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： | Research supported bythe National Natural Science Foundation of China(10971180); the Xuzhou Normal University 2010 Graduate Programs of Research and Innovation Plan(2010YLB020) |
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| 摘 要： | 在Kondratiev分布空间(S)-1中利用Hermite变换和截断展开法,分别得到了(n+1)维Wick型随机Chaffee-Infante方程的白噪声泛函解和(n+1)维变系数Chaffee-Infante方程的精确解.
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| 关 键 词： | (n+1)维Wick型随机Chaffee-Infante方程 Hermite变换 截断展开法 随机孤子解 |
Exact solutions for ( n + 1 )-dimensional Wick-type stochastic Chaffee-Infante equation |
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| Wang Xiankun,Shi Changbo.Exact solutions for ( n + 1 )-dimensional Wick-type stochastic Chaffee-Infante equation[J].Journal of Xuzhou Normal University(Natural Science Edition),2011,29(2):50-52,60. |
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| Authors: | Wang Xiankun Shi Changbo |
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| Institution: | Wang Xiankun,Shi Changbo(School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,Jiangsu,China) |
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| Abstract: | By using Hermite transform on the Kondratiev distribution space (S)-1 and the truncated expansion method, the white noise functional solutions for the (n + 1)-dimensional Wick-type stochastic Chaffee-Infante equation and exact solutions for the (n+1)-dimensional Chaffee-Infante eqution with variable coefficients are obtained. |
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| Keywords: | (n+1)-dimensional Wick-type stochastic Chaffee-Infante equation Hermite transform truncated expansion method stochastic soliton solution |
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