White Noise Functional Solutions for Wick-type Stochastic Fractional KdV-Burgers-Kuramoto Equations

Hossam A. Ghany；M. S. Mohammed

Chinese Journal of Physics

50卷4期（2012 / 08 / 01）

619 - 627

英文

This paper is devoted to give white noise functional solutions for the Wick-type stochastic generalized fractional KdV-Burgers-Kuramoto equations with space-fractional derivatives. Using the homotopy analysis method (HAM) that was developed for integer-order differential equations, we can find new approximations to the exact solutions of the fractional KdV-Burgers-Kuramoto equations. Moreover, the Hermit transform and the inverse Hermit transform are employed to find the Wick-type stochastic generalized fractional KdV-Burgers- Kuramoto equations with space-fractional derivatives.