Exact soliton-like solutions for stochastic combined Burgers-KdV equation

摘要

In this paper, by using symmetry reduction, the stochastic Wick-type combined Burgers-KdV equation is reduced to nonlinear stochastic ordinary differential equation (NSODE), which contains the Jacobian elliptic equation and Painleve type II equation. Based on this so obtained NSODE, some stochastic Wick-type exact soliton-like solutions are given via Hermite transformation. (c) 2005 Elsevier Ltd. All rights reserved.