| Wick型随机广义sinh(sine)-Gordon方程的白噪声泛函解(英文) |
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| 引用本文： | 孙信秀,刘海洋.Wick型随机广义sinh(sine)-Gordon方程的白噪声泛函解(英文)[J].徐州师范大学学报(自然科学版),2011,29(1):43-48. |
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| 作者姓名： | 孙信秀 刘海洋 |
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| 作者单位： | 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 |
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| 基金项目： | Research supported by the National Natural Science Foundation of China(10971180); the Youth Foundation of Suzhou Vocational University(2010SZDQ11) |
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| 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.
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| 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 |
White noise functional solutions for Wick-type stochastic generalized sinh(sine)-Gordon equations |
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| Sun Xinxiu,Liu Haiyang.White noise functional solutions for Wick-type stochastic generalized sinh(sine)-Gordon equations[J].Journal of Xuzhou Normal University(Natural Science Edition),2011,29(1):43-48. |
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| Authors: | Sun Xinxiu Liu Haiyang |
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| Institution: | Sun Xinxiu1,Liu Haiyang2(1.Department of Basic Courses,Suzhou Vocational University,Suzhou 215104,Jiangsu,China,2.Department of Basic Courses,Xuzhou Air Force College,Xuzhou 221006,China) |
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| Abstract: | 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. |
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| Keywords: | Wick-type stochastic generalized sinh-and sine-Gordon equations white noise functional analysis Hermite transform F-expansion method |
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