(2+1)维Wick型随机ANNV系统的白噪声泛函解  

White Noise Functional Solutions of (2+1)-Dimensional Wick-type Stochastic ANNV System

作　　者：汪先坤[1] 

机构地区：[1]徐州师范大学数学科学学院,江苏徐州221116

出　　处：《淮阴师范学院学报（自然科学版）》2011年第3期189-192,200,共5页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：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)

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.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.

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 

分 类 号：O211.63[理学—概率论与数理统计]