Analytical Approach to Exact Solutions for the Wick-Type Stochastic Space-Time Fractional KdV Equation
Hossam A. Ghany1,2**
1Department of Mathematics, Faculty of Industrial Education Ameria (11282), Helwan University, Cairo, Egypt 2Department of Mathematics, Faculty of Science, Taif University, Hawea(888), Taif, Saudi Arabia
Abstract：This study is devoted to giving an analytical approach to exact solutions for the Wick-type stochastic space-time fractional KdV equation. By means of Hermite transform, white noise theory, and the fractional Riccati equation method, we derive white noise functional solutions for the Wick-type stochastic space-time fractional KdV equations. Exact traveling wave solutions for the variable coefficients space-time fractional KdV equations are given by using the fractional Riccati equation method. The obtained results include soliton-like, periodic, and rational solutions.
2014, Vol. 31 
