Wick型随机广义sinh(sine)-Gordon方程的白噪声泛函解(英文)  

White noise functional solutions for Wick-type stochastic generalized sinh(sine)-Gordon equations

作　　者：孙信秀[1] 刘海洋[2] 

机构地区：[1]苏州市职业大学基础部,江苏苏州215104 [2]徐州空军学院基础部,江苏徐州221006

出　　处：《徐州师范大学学报（自然科学版）》2011年第1期43-48,共6页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：Research supported by the National Natural Science Foundation of China(10971180);the Youth Foundation of Suzhou Vocational University(2010SZDQ11)

摘　　要：利用白噪声泛函分析理论、Hermite变换、齐次平衡原理和F扩张法,分别得到了Wick型随机广义sinh(sine)-Gordon方程的双曲、椭圆白噪声函数解和变系数广义sinh(sine)-Gordon方程的双曲J、acobi椭圆函数解.Using white noise analysis,Hermite transform,the homogeneous balance principle and F-expansion method,we respectively obtain a number of hyperbolic and elliptic white noise functional solutions,hyperbolic function and Jacobi elliptic function solutions for Wick-type stochastic generalized sinh-and sine-Gordon equations with variable coefficient.

关 键 词：Wick型随机广义sinh(sine)-Gordon方程 白噪声泛函分析 HERMITE变换 F扩张法 

分 类 号：O211.63[理学—概率论与数理统计]