• Periodic solutions ofWick-type stochastic Korteweg–de Vries equations

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      https://www.ias.ac.in/article/fulltext/pram/087/04/0055

    • Keywords

       

      Wick-type stochastic Korteweg–de Vries equation; Hermite transform; Kudrayshov method; white noise functionals.

    • Abstract

       

      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 isimplemented 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.

    • Author Affiliations

       

      JIN HYUK CHOI1 DAEHO LEE1 HYUNSOO KIM2

      1. Humanitas College, Kyung Hee University, Yongin 446-701, Republic of Korea
      2. Department of Applied Mathematics, Kyung Hee University, Yongin 446-701, Republic of Korea
    • Dates

       
  • Pramana – Journal of Physics | News

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