New exact solutions for the Wick-type stochastic modified Boussinesq equation for describing wave propagation in nonlinear dispersive systems

摘要

In this article, exact solutions of a Wick-type stochastic fractional modified Boussinesq equation have been obtained by using an improved sub-equation method. We have used the Hermite transform for transforming the Wick-type stochastic modified Boussinesq equation to a deterministic partial differential equation. Also we have applied the inverse Hermite transform for obtaining a set of stochastic solutions in the white noise space. (C) 2017 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.