Exact Traveling Wave Solutions for Wick-Type Stochastic Schamel KdV Equation-Reference-Cited by-同舟云学术

Exact Traveling Wave Solutions for Wick-Type Stochastic Schamel KdV Equation

Published:2014-12-15 Issue: Volume:2014 Page:1-9
ISSN:2090-2220
Container-title:Physics Research International
language:en
Short-container-title:Physics Research International

Author:

Ghany Hossam A.¹²,Zakarya M.³

Affiliation:

1. Department of Mathematics, Faculty of Science, Taif University, Al Hawiyah, Taif 888, Saudi Arabia

2. Department of Mathematics, Helwan University, Cairo, Egypt

3. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

Abstract

F-expansion method is proposed to seek exact solutions of nonlinear partial differential equations. By means of Hermite transform, inverse Hermite transform, and white noise analysis, the variable coefficients and Wick-type stochastic Schamel KdV equations are completely described. Abundant exact traveling wave solutions for variable coefficients Schamel KdV equations are given. These solutions include exact stochastic Jacobi elliptic functions, trigonometric functions, and hyperbolic functions solutions.

Publisher

Hindawi Limited

Subject

General Physics and Astronomy

Link

http://downloads.hindawi.com/archive/2014/937345.pdf

Reference48 articles.

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