Abundant solutions of Wick-type stochastic fractional 2D KdV equations

doi:10.1088/1674-1056/23/6/060503

Abstract A modified fractional sub-equation method is applied to Wick-type stochastic fractional two-dimensional (2D) KdV equations. With the help of a Hermit transform, we obtain a new set of exact stochastic solutions to Wick-type stochastic fractional 2D KdV equations in the white noise space. These solutions include exponential decay wave solutions, soliton wave solutions, and periodic wave solutions. Two examples are explicitly given to illustrate our approach.

Keywords: 2D KdV equations fractional calculus white noise Hermite transform

Received: 26 November 2013
Revised: 23 December 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, Abd-Allah Hyder
E-mail: h.abdelghany@yahoo.com;abdallah_hyder@yahoo.com

Cite this article:

Hossam A. Ghany, Abd-Allah Hyder Abundant solutions of Wick-type stochastic fractional 2D KdV equations 2014 Chin. Phys. B 23 060503

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Abundant solutions of Wick-type stochastic fractional 2D KdV equations

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