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

Authors

  • Z. Abu Shaeir

the ( -expansion method, the improved korteweg de vries equation and the two dimension korteweg de vries (2D kdv)

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.

How to Cite

Numerical Solutions for the Improved Korteweg De Vries and the Two Dimension Korteweg De Vries (2D KDV) Equations. (2016). Global Journal of Science Frontier Research, 16(17), 91-97. https://journalofscience.org/index.php/GJSFR/article/view/

References

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. 202(1), 275-286. https://doi.org/10.1016/j.amc.2008.02.013

A. Khater, W. Malfiet, D. Callebaut, Kamel, E. method, a. transformation (2002) The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction-diffusion equations. 14(3), 513-522. https://doi.org/10.1016/s0960-0779(01)00247-8

D. Evans, K. Raslan (2005) The tanh function method for solving some important nonlinear partial differential equation. 82(7), 897-905.

E. Fan (2000) Extended tanh-function method and its applications to nonlinear equations. A (277), 212-218.

E. Fan, S. Elwakil, S. El-Labany, M. Zahran, R. Sabry, A. Abdou, K. Raslan, H. Alzubaidi (2001) Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics. 56, 193-199.

MRLW (2007) 189 : 346-354. D. Kaya. A numerical simulation of solitary-wave solutions of the generalized longwave equation. Appl. Math. Comput. (2004)149(3) 833-841. K. R. Raslan. Exact solitary wave solutions of equal width wave and related equations using a direct algebraic method. I.J. N. Science (2008) 6(3):246-254. M.Ali, S. Tauseef. An alternative ( )-expansion method with generalized Riccati equation: Application to fifth order (1+1)-dimensional Caudrey-Dodd-Gibbon equation. 149(3), 833-841.

Zakharov- (ZK), Boussinesq equations, Int. Sci (2013) ZK) and Boussinesq equations. 6(3), 160-173.

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

Published

2016-06-07

How to Cite

Numerical Solutions for the Improved Korteweg De Vries and the Two Dimension Korteweg De Vries (2D KDV) Equations. (2016). Global Journal of Science Frontier Research, 16(17), 91-97. https://journalofscience.org/index.php/GJSFR/article/view/