Periodic solutions ofWick-type stochastic Kortewega€“de Vries equations

摘要

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 Kortewega€“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.