Hyunsoo Kim
Articles written in Pramana – Journal of Physics
Volume 80 Issue 6 June 2013 pp 917-931
New travelling wave solutions for nonlinear stochastic evolution equations
Hyunsoo Kim Rathinasamy Sakthivel
The nonlinear stochastic evolution equations have a wide range of applications in physics, chemistry, biology, economics and finance from various points of view. In this paper, the $(G'/G)$-expansion method is implemented for obtaining new travelling wave solutions of the nonlinear (2 + 1)-dimensional stochastic Broer–Kaup equation and stochastic coupled Korteweg–de Vries (
Volume 87 Issue 4 October 2016 Article ID 0055 Regular
Periodic solutions ofWick-type stochastic Korteweg–de Vries equations
JIN HYUK CHOI DAEHO LEE HYUNSOO KIM
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.
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