| Wick型随机非线性Schr(o)dinger方程的白噪声泛函解 |
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| 引用本文： | 陈彬.Wick型随机非线性Schr(o)dinger方程的白噪声泛函解[J].应用数学,2010,23(2). |
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| 作者姓名： | 陈彬 |
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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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| 摘 要： | 本文对变系数非线性Schr(o)dinger方程通过白噪声扰动得到的Wick型随机非线性Schr(o)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.
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| 关 键 词： | Wick型随机非线性Schr(o)dinger方程 白噪声泛函解 Hermiter变换 Painlevé展开 painlevé expansion |
White Noise Functional Solutions of Wick-type Stochastic NLS Equations |
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| CHEN Bin.White Noise Functional Solutions of Wick-type Stochastic NLS Equations[J].Mathematica Applicata,2010,23(2). |
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| Authors: | CHEN Bin |
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| Abstract: | 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(a)cklund transformations are showed by using Hermite transform and Painevé expansion. |
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| Keywords: | Wick-type stochastic NLS equation White noise functional solution Hermite transform |
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