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Wick型随机Hirota-Satsuma方程的精确解 被引量：1

Exact Solutions of Wick-type Stochastic Hirota-Satsuma Equations
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摘要 通过使用白噪声泛函分析理论、Hermite变换和指数函数法,分别得到Wick型随机Hirota-Satsuma方程和变系数的Hirota-Satsuma方程的白噪声泛函解、精确解及周期解. Using white noise analysis, Hermite transform and the exp-function method, we obtain a number of Wick versions of white noise functional solutions,exact solutions and period solutions for Wick-type stochastic Hirota-Satsuma equation and the one with variable coefficients,respectively.
作者 韩秀 徐英 吴娇
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1期26-29,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型随机Hirota-Satsuma方程 白噪声泛函分析解 HERMITE变换 指数函数法 Wick-type stochastic Hirota-Satsuma equation white noise functional solution Hermite transform exp-function method
分类号 O211.63 [理学—概率论与数理统计]
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参考文献10

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同被引文献7

  • 1Zhang S. New exact solutions of the KdV-Burgers-Kuramoto equation[J]. Phys Lett A,2006,358:414.
  • 2Benth E,Gjerde J. A remark on the equivalence between Poisson and Gaussian stochastic partial differential equations[J]. Potential Analysis, 1998,8(2): 179.
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  • 4Chen Bin,Xie Yingchao. White noise functional solutions of Wick-type stochastic generalized Hirota-Satsuma coupled KdV equations[J].J Comput Appl Math,2006,197(2):345.
  • 5Chen Bin,Xie Yingchao. Exact solutions of the Wick-type stochastic mKP equation[J].Chaos Solitons & Fractals, 2007,31(1) :173.
  • 6Holden H, Φksendal B,Uboe J,et al. Stochastic partial differential equations:a modeling, white noise functional approach[ M]. Berlin : Birhkauser, 1996:11 - 95.
  • 7Yavuz Ugurlu,Dogan Kaya. Analytic method for solitary solutions of some partial differential equations[J].Phys Lett A, 2007,370:251.

引证文献1

徐州师范大学学报（自然科学版）
2008年 第1期

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