Exact Solutions for Wick-Type Stochastic Coupled KdV Equations

Exact Solutions for Wick-Type Stochastic Coupled KdV Equations

Hossam A. Ghany

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M. Zakarya

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Helwan University

Al-Azhar University

Exact Solutions for Wick-Type Stochastic Coupled KdV Equations

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Abstract

Wick-type stochastic coupled KdV equations are researched. By means ofHermite transformation, white noise theory and F-expantion method, three typesof exact solutions for Wick-type stochastic coupled KdV equations are explicitlygiven. These solutions include the white noise functional solutions of Jacobi elibtic function (JEF) type, trigonometric type and hyperbolic type.

References

46 Cites in Article

Reference Format

S Abbasbandy (2008). Unknown Title.
Fred Benth,Jon Gjerde (1998). A Remark on the Equivalence between Poisson and Gaussian Stochastic Partial Differential Equations.
A De Bouard,A Debussche (1998). On the Stochastic Korteweg–de Vries Equation.
A De Bouard,A Debussche (1999). Unknown Title.
A Debussche,J Printems (1999). Unknown Title.
A Debussche,J Printems (2001). Unknown Title.
Mehdi Dehghan,Jalil Heris,Abbas Saadatmandi (2010). Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses.
M Dehghan,M Tatari (2008). Unknown Title.
Engui Fan (2000). Extended tanh-function method and its applications to nonlinear equations.
Z Fu,S Liu,S Liu,Q Zhao (2001). Unknown Title.
D Ganji,A Sadighi (2006). Masthead.
H Ghany (2011). Unknown Title.
H Ghany (2012). REMOVED: Chapter III Metric Spaces.
H Ghany,A Hyder (2012). Unknown Title.
H Ghany,A Hyder (2013). Unknown Title.
H Ghany,A Hyder (2013). Unknown Title.
Hossam Ghany,Abd-Allah Hyder (2013). Soliton solutions for Wick-type stochastic fractional KdV equations.
H Ghany,M Mohammed (2012). Unknown Title.
H Ghany,A Okb El Bab,A Zabal,A Hyder (2013). Unknown Title.
H Holden,B Øsendal,J,T Zhang (1996). Stochastic partial differential equations.
Ji-Huan He,Xu-Hong Wu (2006). Exp-function method for nonlinear wave equations.
Ji-Huan He,M Abdou (2007). New periodic solutions for nonlinear evolution equations using Exp-function method.
V Konotop,L Vazquez (1994). Nonlinear Random Waves.
S Liu,Z Fu,S Liu,Q Zhao (2001). Unknown Title.
J Liu,L Yang,K Yang,Chaos (2004). Unknown Title.
E Parkes,B Duffy,P Abbott (2002). The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations.
Fatemeh Shakeri,Mehdi Dehghan (2008). Solution of delay differential equations via a homotopy perturbation method.
Miki Wadati (1983). Stochastic Korteweg-de Vries Equation.
Abdul-Majid Wazwaz (2007). A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations.
M Wadati,Y Akutsu (1984). Unknown Title.
Abdul-Majid Wazwaz (2006). Travelling wave solutions for combined and double combined sine–cosine-Gordon equations by the variable separated ODE method.
A Wazwaz (2005). Unknown Title.
Xiaoyan Ma,Liping Wei,Zhongjin Guo (2008). He's homotopy perturbation method to periodic solutions of nonlinear Jerk equations.
X Wu,J He (2008). Unknown Title.
Yingchao Xie (2003). Exact solutions for stochastic KdV equations.
Y Xie (2004). Unknown Title.
Y Xie (2004). Unknown Title.
Yingchao Xie (2004). An auto-Bäcklund transformation and exact solutions for Wick-type stochastic generalized KdV equations.
Y Xie (2003). Unknown Title.
S Zhang,T Xia (2006). Unknown Title.
S Zhu (2007). Unknown Title.
S Zhu (2007). Unknown Title.
Yubin Zhou,Yueming Wang,Wang (2003). Unknown Title.
Sheng Zhang,Tiecheng Xia (2007). A generalized F-expansion method with symbolic computation exactly solving Broer–Kaup equations.
Sheng Zhang,Tiecheng Xia (2006). A generalized F-expansion method and new exact solutions of Konopelchenko–Dubrovsky equations.
Sheng Zhang,Tiecheng Xia (2008). An improved generalized F-expansion method and its application to the (2+1)-dimensional KdV equations.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Hossam A. Ghany. 2014. \u201cExact Solutions for Wick-Type Stochastic Coupled KdV Equations\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F3): .

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GJSFR Volume 14 Issue F3
Pg. 57- 71

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

coupled KdV equations F-expantion method hermite transform white noise theory wicktypeproduct

Submission ReceivedApril 9, 2014
Peer Review Double Blind
Handling Editor
Accepted April 30, 2014
Published May 13, 2014

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v1.2

Issue date

July 17, 2014

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Article Matrices

Total Score: 102

Country: Egypt

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Hossam A. Ghany, M. Zakarya (PhD/Dr. count: 0)

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