Volume no :11, Issue no: 2, October (2011)

Journal of Mathematical Sciences: Advances and Applications

WHITE NOISE FUNCTIONAL SOLUTIONS FOR WICK-TYPE STOCHASTIC COUPLED KdV EQUATIONS

Author's: HOSSAM A. GHANY and ABD-ALLAH HYDER
Pages: [79] - [96]
Received Date: April 7, 2011
Submitted by:

Abstract

Wick-type stochastic coupled KdV equations are researched. By means of Hermite transformation, white noise theory and modified tanh-coth method, four types of exact solutions to the stochastic coupled KdV equations are explicitly given. These solutions include the functional solutions of exponential type, hyperbolic type, trigonometric type, and quadratic trigonometric type.

Keywords

coupled KdV equations, Wick-type, white noise, Hermite transform, Riccati equation, modified tanh-coth method.