Periodic solutions of Wick-type stochastic Korteweg–de Vries equations

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• 作者：JIN HYUK CHOI ; DAEHO LEE ; HYUNSOO KIM
• 关键词：Wick ; type stochastic Korteweg–de Vries equation ; Hermite transform ; Kudrayshov method ; white noise functionals.
• 刊名：Pramana
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：87
• 期：4
• 全文大小：2,038 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer India
• ISSN：0973-7111
• 卷排序：87

文摘

Nonlinear stochastic partial differential equations have a wide range of applications in science and engineering. Finding exact solutions of the Wick-type stochastic equation will be helpful in the theories and numerical studies of such equations. In this paper, Kudrayshov method together with Hermite transform is implemented to obtain exact solutions of Wick-type stochastic Korteweg–de Vries equation. Further, graphical illustrations in two- and three-dimensional plots of the obtained solutions depending on time and space are also given with white noise functionals.