| Wick型随机偏微分复合STO方程的精确解(英文) |
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| 引用本文： | 吴娇,徐英.Wick型随机偏微分复合STO方程的精确解(英文)[J].徐州师范大学学报(自然科学版),2009,27(1). |
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| 作者姓名： | 吴娇 徐英 |
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| 作者单位： | 徐州师范大学,数学科学学院,江苏,徐州,221009 |
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| 基金项目： | 国家自然科学基金，江苏省自然科学基金，Foundation of ‘Liu Da Ren Cai'Plan，Foundation of ‘333 Gongcheng' of Jiangsu Province |
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| 摘 要： | 双曲正切法是求一类物理方程精确解的重要方法之一.研究Sharma-Tasso-Ower(STO)方程,利用白噪声分析、Hermite变换和双曲正切等方法分别获得变系数STO方程和Wick型随机STO方程的精确解和白噪声泛函解.
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| 关 键 词： | Sharma-Tasso-Ower方程 双曲正切法 Hermite变换 白噪声泛函解 |
New exact solution of Wike-type stochastic compound STO equation |
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| WU Jiao,XU Ying.New exact solution of Wike-type stochastic compound STO equation[J].Journal of Xuzhou Normal University(Natural Science Edition),2009,27(1). |
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| Authors: | WU Jiao XU Ying |
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| Abstract: | Tanh method is important to get exact solutions for some physical equations. In this paper, Sharma-Tasso-Ower(STO) equation is researched. By using white noise analysis, Hermite transform and tanh method, the exact solutions and the white noise functional solutions are obtained for variable coefficient STO equation and Wick-type STO equation respectively. |
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| Keywords: | Sharma-Tasso-Ower equation tanh method Hermite transform white noise functional solution |
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