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Wick随机广义MKdv方程的精确解
White Noise Functional Solutions for Wick-Type Stochastic Generalized MKdv Equation
【摘要】 用埃尔米特变换求出了Wick-类型的随机广义MKdv方程的精确解,这种方法的基本思想是通过埃尔米特变换把Wick-类型的随机广义MKdv方程变成广义系数MKdv方程,利用F-展开方法求出方程的精确解,并在Kondratiev分布空间(S)-1中利用Hermite变换给出了把Wick-类型的堕机广义MKdv方程的白色噪声泛函解.
【Abstract】 In the paper, by using Hermite transform method, Wick- type stochastic generalized MKdv equation is researched. The basic idea of this method is change into generalized coefficient MKdv equation Wick- type stochastic generalized MKdv equation by means of Hermite transformation. Using the expansion method of F-obtained the exact solution of the equation, and the spatial distribution of Kondratiev(S)-1by Hermite transform is given to the white noise functional stochastic generalized MKdv equation of Wick- type.
【关键词】 Wick-类型的随机广义MKdv方程;
随机精确解;
白色噪音;
F-展开法;
埃尔米特变换;
【Key words】 Wick-type stochastic generalized MKdv equation; Stochastic exact solution; White Noise; F-expansion method; Hermite transformation;
【Key words】 Wick-type stochastic generalized MKdv equation; Stochastic exact solution; White Noise; F-expansion method; Hermite transformation;
【基金】 内蒙古自然科学基金资助项目(2013MS0120);内蒙古高等学校科学研究基金资助项目(NJZY13172)
- 【文献出处】 内蒙古民族大学学报(自然科学版) ,Journal of Inner Mongolia University for Nationalities(Natural Sciences) , 编辑部邮箱 ,2016年02期
- 【分类号】O175.29
- 【下载频次】99