Exact traveling wave solutions of nonlinear variable coefficients evolution equations with forced terms using the generalized (G′/G) -expansion method

作者: Mahmoud A. M. Abdelaziz , Elsayed M. E. Zayed

DOI: 10.1007/S10598-013-9163-4

关键词:

摘要: The exact traveling wave solutions of the nonlinear variable coefficients Burgers-Fisher equation and generalized Gardner with forced terms can be found in this article using (G′/G)-expansion method. As a result, hyperbolic, trigonometric rational function parameters are obtained. When these taken special values, solitary derived from hyperbolic solutions. It is shown that proposed method direct, effective applied to many other evolution equations mathematical physics.

参考文章(40)
E. M. E. Zayed, Shorog Al-Joudi, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Applications of an Improved (G′G) ‐expansion Method to Nonlinear PDEs in Mathematical Physics NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. ,vol. 1168, pp. 371- 376 ,(2009) , 10.1063/1.3241473
Ji-Huan He, Variational iteration method – a kind of non-linear analytical technique: some examples International Journal of Non-linear Mechanics. ,vol. 34, pp. 699- 708 ,(1999) , 10.1016/S0020-7462(98)00048-1
Elsayed M. E. Zayed, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Equivalence of The G′G‐expansion Method and The Tanh‐Coth Function Method ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. ,vol. 1281, pp. 2225- 2228 ,(2010) , 10.1063/1.3498417
Sheng Zhang, New exact solutions of the KdV–Burgers–Kuramoto equation Physics Letters A. ,vol. 358, pp. 414- 420 ,(2006) , 10.1016/J.PHYSLETA.2006.05.071
E.M.E. Zayed, Khaled A. Gepreel, Some applications of the G'G-expansion method to non-linear partial differential equations Applied Mathematics and Computation. ,vol. 212, pp. 1- 13 ,(2009) , 10.1016/J.AMC.2009.02.009
Elsayed M. E. Zayed, Shorog Al-Joudi, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, An Improved (G′G)‐expansion Method for Solving Nonlinear PDEs in Mathematical Physics ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. ,vol. 1281, pp. 2200- 2205 ,(2010) , 10.1063/1.3498416
Ji-Huan He, Application of homotopy perturbation method to nonlinear wave equations Chaos, Solitons & Fractals. ,vol. 26, pp. 695- 700 ,(2005) , 10.1016/J.CHAOS.2005.03.006