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Wick型随机组合ZK方程的白噪声泛函解

White noise functional solutions for Wick-type combined ZK equation
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摘要 对变系数组合ZK方程进行白噪声扰动得到的Wick型随机组合ZK方程进行了研究.在Kondratiev分布空间(S)?1中利用白噪声分析,Hermite变换和多项式展开法,得到Wick型随机组合ZK方程的白噪声泛函解和变系数组合ZK方程的精确解. In this paper, the perturbation versions of variable coefficient combined ZK equation by white noise, Wick-type stochastic combined ZK equation is investigated. By using white noise analysis, Hermite transform and the polynomial expansion method in Kondratiev distribution space（S）-1, the Wick-type of white noise functional solutions for the Wick-type combined ZK Equation and exact solutions for variable cofficient combined ZK Equation are obtained.
作者 王涛 单良 陈彬
机构地区 喀什师范学院数学系 徐州师范大学数学科学学院
出处 《纯粹数学与应用数学》 CSCD 2011年第4期491-497,522,共8页 Pure and Applied Mathematics
基金 国家自然科学基金(10971180) 喀什师范学院2011年度青年专项课题
关键词 Wick型随机组合ZK方程 白噪声泛函解 多项式展开法 HERMITE变换 Wick-type combined ZK equation, white noise functional solution, polynomial expansion method, Hermite transform
分类号 O211.63 [理学—概率论与数理统计]
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参考文献14

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纯粹数学与应用数学
2011年 第4期

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