Wick型随机非线性Schrdinger方程的白噪声泛函解(英文)  

White Noise Functional Solutions of Wick-type Stochastic NLS Equations

作　　者：陈彬[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：《应用数学》2010年第2期292-298,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (10671168,10971180);the Natural Science Foundation of the Jiangsu Province(07-333)

摘　　要：本文对变系数非线性Schrdinger方程通过白噪声扰动得到的Wick型随机非线性Schrdinger方程进行了研究,利用Hermite变换和Painlevé展开方法给出了该方程的白燥声泛函解.In this paper,the perturbation versions of variable coefficient NLS equations by white noise,Wick-type stochastic NLS equations are investigated.The white noise functional solutions and auto-Bcklund transformations are showed by using Hermite transform and Painlevé expansion.

关 键 词：Wick型随机非线性Schrdinger方程 白噪声泛函解 Hermiter变换 Painlevé展开 

分 类 号：O211.63[理学—概率论与数理统计]