آمار
| تعداد نشریات | 45 |
| تعداد شمارهها | 1,497 |
| تعداد مقالات | 18,255 |
| تعداد مشاهده مقاله | 59,200,239 |
| تعداد دریافت فایل اصل مقاله | 20,647,536 |
The modified simplest equation method and its application | ||
| Computational Methods for Differential Equations | ||
| مقاله 6، دوره 1، شماره 1، مهر 2013، صفحه 71-77 اصل مقاله (111.79 K) | ||
| نوع مقاله: Research Paper | ||
| نویسنده | ||
| M. Akbari | ||
| University of Guilan | ||
| چکیده | ||
In this paper, the modified simplest equation method is successfully implemented to find travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation. This method is direct, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation and can be used to solve other nonlinear partial differential equations in mathematical physics. | ||
| کلیدواژهها | ||
| The modified simplest equation method؛ traveling wave solutions؛ homogeneous balance؛ Solitary wave solutions؛ The generalized forms $B(n؛ 1)$ and $B(-n؛ 1)$ of Burgers equation | ||
| مراجع | ||
|
[1] E. Fan, Extended tanh-function method and its applications to nonlinear equations, Physics Letters A, 277(4-5) (2000) 212-218. [2] E. G. Fan, Extended tanh-function method and its applications to nonlinear equations, Phys. Lett. A, 277 (2000) 212-218. [3] E. Fan and H. Zhang, A note on the homogeneous balance method, Phys. Lett. A, 246 (1998) 403-406. [4] J. H. He and X.H. Wu, Exp-function method and for nonlinear wave equations. Chaos, Solitons and Fractals, 30 (2006) 700-708. [5] A. J. M. Jawad, M. D. Petkovic and A. Biswas, Modi ed simple equation method for nonlinear evolution equations, Appl. Math. Comput., 217 (2010) 869-877. [6] S. K. Liu, Z. T. Fu, S. D. Liu and Q. Zhao, Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equatins, Phys. Lett. A, 289 (2001) 72-76. [7] N. K. Vitanov, Z. I. Dimitrova and H. Kantz, Modi ed method simplest equation and application to nonlinear PDFs, Appl. Math. Comput., 216 (2010) 2587-2595. [8] N. K. Vitanov, Modi ed method simplest equation poerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDFs, Commun Nonlinear. Sci. Numer. Simulat., 16 (2011) 1179-1185. [9] N. K. Vitanov and Z. I. Dimitrova, Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDFs from ecoloy and population dynamics. Commun. Nonlinear Sci. Numer. Simulat., 15 (2010) 2836-2845. [10] M.Wang, X. Li and J. Zhang, The (G′ G )-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics, Phys. Lett. A, 372 (2008) 417- 423. [11] M. L. Wang and X. Z. Li, Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation, Chaos Soliton Fract., 24 (2005) 1257-1268. [12] E. M. E. Zayed, A note on the modi ed simple equation method applied to Sharma- Tasso-Olver equation, Appl. Math. Comput., 218 (2011) 3962-3964. [13] E. M. E. Zayed and S.A.H. Ibrahim, Exact solutions of nonlinear evolution equations in mathematical physics using the modi ed simple equation method, chinese physics Letters, 29(6) (2012), Article ID 060201. [14] H. Zhang, New application of the (G′,G )-expansion method, Commun. Nonlinear Sci. Numer. Simul., 14 (2009) 3220-3225. | ||
|
آمار تعداد مشاهده مقاله: 3,241 تعداد دریافت فایل اصل مقاله: 2,302 |
||