Periodic solutions ofWick-type stochastic Korteweg–de Vries equations

Pramana

DAEHO LEE²  JIN HYUK CHOI²  HYUNSOO KIM2¹ 

[1] Department of Applied Mathematics, Kyung Hee University, Yongin 446-701, Republic of Korea$$;Humanitas College, Kyung Hee University, Yongin 446-701, Republic of Korea$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 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 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.

【 授权许可】

Unknown