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Wick型Clannish Random Walker's Parabolic方程的精确解

Exact Solutions of the Wick-type Clannish Random Walker's Parabolic Equations
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摘要 通过白噪声泛函分析理论、Hermite变换和广义F展开法,分别得到Wick型clannish random walker's para-bolic方程和变系数的clannish walker's parabolic方程的白噪声泛函解、三角函数解及双曲函数解. By using the white noise analysis, Hermite transform and the generalized F-expansion method,a number of Wick versions of white noise functional solutions, trigonometric function solutions and hyperbolic function solutions for the Wick-type stochastic clannish random walker＇s parabolic equation and the one with variable coefficients are obtained,respectively.
作者 徐英
机构地区 徐州师范大学数学科学学院
出处 《徐州师范大学学报（自然科学版）》 CAS 2008年第4期42-45,共4页 Journal of Xuzhou Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10671168) 江苏省自然科学基金资助项目(BK2006032) 江苏省"333工程"基金资助项目 江苏省"六大人才"计划资助项目(06-A-038)
关键词 Wick型clannish RANDOM walker’s parabolic方程 白噪声泛函分析解 HERMITE变换 广义F展开法 Wick-type stochastic clannish random walker＇s parabolic equation white noise functional solution Hermite transform generalized F-expansion method
分类号 O211.63 [理学—概率论与数理统计]
  • 相关文献

参考文献8

  • 1Xie Yingchao. Exact solutions for stochastic KdV equations[J]. Phys Lett A, 2003,310 (2-3):161.
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  • 3Chen Bin,Xie Yingchao. Exact solutions of the Wick-type stochastic mKP equation[J].Chaos Solitons & Fractals, 2007,31(1) :173.
  • 4韩秀,徐英,吴娇.Wick型随机Hirota-Satsuma方程的精确解[J].徐州师范大学学报（自然科学版）,2008,26(1):26-29. 被引量：1
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二级参考文献10

  • 1Zhang H. Extended Jacobi elliptic function expansion method and its applications[J]. Commun Nonlinear Sci Numer Simul, 2007,12(5) : 627.
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  • 6Chen Bin, Xie Yingchao. Exact solutions of the Wick-type stochastic mKP equation[J]. Chaos Solitons & Fractals, 2007,31(1) :173.
  • 7Holden H ,Фksendal B,UBoe J ,et al. Stochastic partial differential equations:a modeling,white noise functional apporach[ M]. Berlin: Birhkguser, 1996 : 11 -- 95.
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  • 9Han Xiu, Xie Yingchao. Hyperbolic white noise functional solutions of Wick-type stochastic compound Kdv-Burgers equations[J]. Chaos Solitions & Fractals,in press.
  • 10Benth E,Gjerde J. A remark on the equivalence between Poisson and Gaussian stochastic partial differential equations[J]. Potential Analysis,1998,8(2) :179.
徐州师范大学学报（自然科学版）
2008年 第4期

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