Wick型随机Burgers方程的自B(a)cklund变换和精确解

来源 :东南大学学报（英文版） | 被引量 : 0次 | 上传用户：yuesiyi

【摘要】

：

研究了随机环境中的Burgers方程.为了给出随机Burgers方程的精确解,只讨论变系数Burgers方程的系数经白噪声W(t)=(B)(t)扰动所得的Wick型随机Burgers方程(B(t)是Brown运动),

【作者】

：

陈彬

【机构】

：

徐州师范大学数学系

【出处】

：

东南大学学报（英文版）

【发表日期】

：

2004年期

【关键词】

：

Wick型随机Burgers方程自B(a)cklund变换随机孤立子解白噪声 Hermite变换齐次平衡原理 Wick-type stochastic

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研究了随机环境中的Burgers方程.为了给出随机Burgers方程的精确解,只讨论变系数Burgers方程的系数经白噪声W(t)=(B)(t)扰动所得的Wick型随机Burgers方程(B(t)是Brown运动),利用齐次平衡原理和Hermite变换给出了Wick型随机Burgers方程的自B(a)cklund变换和随机孤立子解的精确表达式,同时也研究了一般情形的Wick型随机Burgers方程.

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Wick型随机Burgers方程的自B(a)cklund变换和精确解

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