Numerical Solutions for the Improved Korteweg De Vries and the Two Dimension Korteweg De Vries (2D KDV) Equations

Numerical Solutions for the Improved Korteweg De Vries and the Two Dimension Korteweg De Vries (2D KDV) Equations

Z. Abu Shaeir

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K. Raslan

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Al-Azhar University

Numerical Solutions for the Improved Korteweg De Vries and the Two Dimension Korteweg De Vries (2D KDV) Equations

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Abstract

In this paper we established a traveling wave solution by the ( -expansion method for nonlinear partial differential equations (PDEs).The proposed method gives more general exact solutions for two different types of nonlinear partial differential equations such as the improved Korteweg de Vries equation and the two dimension Korteweg de Vries (2D KdV) equations.

References

14 Cites in Article

Reference Format

Abdul-Majid Wazwaz (2008). Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and Exp-function method.
S Elwakil,S El-Labany,M Zahran,R Sabry (2002). Modified extended tanh-function method for solving nonlinear partial differential equations.
Y Gao,B Tian (2001). Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics.
M A Abdou,A Hendi,Mirvet Al -Zumaie (2011). On the extended ( )-expansion method and its applications.
A Khalifa,K Raslan,H Alzubaidi (2007). A finite difference scheme for the MRLW and solitary wave interactions.
D Kaya (2004). A numerical simulation of solitary-wave solutions of the generalized longwave equation.
K Raslan (2008). Exact solitary wave solutions of equal width wave and related equations using a direct algebraic method.
M Ali,S Tauseef (2013). An alternative ( )-expansion method with generalized Riccati equation: Application to fifth order (1+1)-dimensional Caudrey-Dodd-Gibbon equation.
Xiaohua Liu,Weiguo Zhang,Zhengming Li (2012). Application of improved ( )expansion method to traveling wave solutions of two nonlinear evolution equations.
M Shakeel,S Tauseef-Din (2013). Improved ( )-expansion method for Burger's, Zakharov-Kuznetsov (ZK) and Boussinesq equations.
D Evans,K Raslan (2005). Numerical Solutions for the Improved Korteweg De Vries and the Two Dimension Korteweg De Vries (2D KdV) Equations 3.
Engui Fan (2000). Extended tanh-function method and its applications to nonlinear equations.
Engui Fan (2001). Travelling Wave Solutions for Two Generalized Hirota-Satsuma Coupled KdV Systems.
A Khater,W Malfiet,D Callebaut,E Kamel (2002). The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction-diffusion equations.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Z. Abu Shaeir. 2016. \u201cNumerical Solutions for the Improved Korteweg De Vries and the Two Dimension Korteweg De Vries (2D KDV) Equations\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F3): .

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GJSFR Volume 16 Issue F3
Pg. 91- 97

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 35Q53

Submission ReceivedMarch 13, 2016
Peer Review Double Blind
Handling Editor
Accepted April 5, 2016
Published April 17, 2016

Version of record

v1.2

Issue date

June 14, 2016

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Article Matrices

Total Score: 102

Country: Egypt

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

Authors: K. Raslan, Z. Abu Shaeir (PhD/Dr. count: 0)

View Count (all-time): 148

Total Views (Real + Logic): 3842

Total Downloads (simulated): 1984

Publish Date: 2016 06, Tue

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Total Views: 3842

Total Downloads: 1984

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