The fractional coupled KdV equations：Exact solutions and white noise functional approach

doi:10.1088/1674-1056/22/8/080501

Abstract Variable coefficients and Wick-type stochastic fractional coupled KdV equations are investigated. By using the modified fractional sub-equation method, Hermite transform, and white noise theory the exact travelling wave solutions and white noise functional solutions are obtained, including the generalized exponential, hyperbolic, and trigonometric types.

Keywords: coupled KdV equations fractional calculus white noise Hermite transform

Received: 21 October 2012
Revised: 07 March 2013
Accepted manuscript online:

PACS:	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	02.30.Jr	(Partial differential equations)

Corresponding Authors: Hossam A. Ghany
E-mail: h.abdelghany@yahoo.com

Cite this article:

Hossam A. Ghany, A. S. Okb El Bab, A. M. Zabel, Abd-Allah Hyder The fractional coupled KdV equations：Exact solutions and white noise functional approach 2013 Chin. Phys. B 22 080501

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The fractional coupled KdV equations：Exact solutions and white noise functional approach

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