Solving Equal-width Wave-burgers Equation by (gg)-expansion Method
-
3251
Downloads
-
4179
Views
Authors
Shahnam Javadi
- Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran.
Eslam Moradi
- Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran.
Mojtaba Fardi
- Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.
Salman Abbasian
- Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.
Abstract
In this paper, we apply the \((\frac{\acute{G}}{G})\)-expansion method to give traveling wave solutions of the third order equal-width wave-Burgers (EW-Burgers) equation. This method is direct, concise and effective and its applications are promising, and it appears to be easier and faster by a symbolic computation system like Maple or Matlab. This work highlights the power of the \((\frac{\acute{G}}{G})\)-expansion method in providing generalized solitary wave solutions of different physical structures.
Share and Cite
ISRP Style
Shahnam Javadi, Eslam Moradi, Mojtaba Fardi, Salman Abbasian, Solving Equal-width Wave-burgers Equation by (gg)-expansion Method, Journal of Mathematics and Computer Science, 11 (2014), no. 3, 246-251
AMA Style
Javadi Shahnam, Moradi Eslam, Fardi Mojtaba, Abbasian Salman, Solving Equal-width Wave-burgers Equation by (gg)-expansion Method. J Math Comput SCI-JM. (2014); 11(3):246-251
Chicago/Turabian Style
Javadi, Shahnam, Moradi, Eslam, Fardi, Mojtaba, Abbasian, Salman. "Solving Equal-width Wave-burgers Equation by (gg)-expansion Method." Journal of Mathematics and Computer Science, 11, no. 3 (2014): 246-251
Keywords
- The \((\frac{G'}{G})\)-expansion method
- Nonlinear evolution equations
- EW-Burgers equation.
MSC
References
-
[1]
J. I. Ramos , Explicit finite difference methods for the EW and RLW equations, Appl. Math. Comput. , 179 (2006), 622–638.
-
[2]
E. Moradi, H. Varasteh, A. Abdollahzadeh, M. M. Malekshah, The Exp-Function Method for Solving Two Dimensional Sine-Bratu Type Equations, Appl. Math., 5 (2014), 1212-1217.
-
[3]
A. Bekir, A. Boz, Exact solutions for nonlinear evolution equations using Exp-function method, Phys. Lett. A, 372 (2008), 1619-1625.
-
[4]
M. Hosseini, H. Abdollahzadeh, M. Abdollahzadeh, Exact Travelling Solutions For The Sixth-Order Boussinesq Equation, The Journal of Mathematics and Computer Science , 2 (2011), 376-387.
-
[5]
C. T. Yan, A simple transformation for nonlinear waves, Phys. Lett. A , 224 (1996), 77-84.
-
[6]
E. J. Parkes, Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations, Appl. Math. Comput. , 217, 4, 15 (2010), 1749-1754.
-
[7]
M. L. Wang, Y. B. Zhou, Z. B. Li, Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics, Phys. Lett. A , 216 (1996), 67-75.
-
[8]
Yu-Xiang Zeng, Yi Zeng, Approximate Solutions of the Q-discrete Burgers Equation, Journal of Mathematics and Computer Science , 7 (2013), 241 – 248.
-
[9]
A. Neamaty, B. Agheli, R. Darzi, Solving Fractional Partial Differential Equation by Using Wavelet perational Method, Journal of Mathematics and Computer Science , 7 (2013), 230 – 240.
-
[10]
M. L. Wang, X. Z. Li, Extended F-expansion method and periodic wave solutions for the generalized Zakharov equations, Phys. Lett. A, 343 (2005), 48-54.
-
[11]
M. L. Wang, X. Z. Li, Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation, Chaos SolitonsFract., 24 (2005), 1257-1268.
-
[12]
M. Wang, X. Li, J. Zhang, The \((\frac{\acute{G}}{G})\)-expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics, Phys. Lett. A , 372 (2008), 417-423.
-
[13]
M. Wang, J. Zhang, X. Li, Application of the \((\frac{\acute{G}}{G})\)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations, Appl. Math. Comput., 206 (2008), 321-326.
-
[14]
I. Aslan, T. Ozis, On the validity and reliability of the \((\frac{\acute{G}}{G})\)-expansion method by using higher-order nonlinear equations, Appl. Math. Comput., 211 (2009), 531-536.
-
[15]
A. Bekir, Application of the \((\frac{\acute{G}}{G})\)-expansion method for nonlinear evolution equations, Phys. Lett. A , 372 (2008), 3400-3406.