Volume no :45, Issue no: 1, May (2017)

Journal of Mathematical Sciences: Advances and Applications

WICK-TYPE STOCHASTIC KdV EQUATION BASED ON LÉVY WHITE NOISE

Author's: Abd-Allah Hyder
Pages: [1] - [20]
Received Date: February 22, 2017
Submitted by: Zhuangui Liu
DOI: http://dx.doi.org/10.18642/jmsaa_7100121781

Abstract

Wick-type stochastic KdV equation based on Lévy white noise is researched. Lévy white noise functional solutions are showed by using F-expansion method and Hermite transform in Lévy white noise space. These solutions are classified as Jacobi elliptic function and soliton-like solutions. Some of the obtained soliton-like solutions are sketched graphically.

Keywords

KdV equation, Lévy white noise, Wick-type, F-expansion method.