A novel approach for solving the Fisher equation using Exp-function method

In this Letter, Exp-function method is employed to obtain traveling wave solutions of the Fisher equation. It is shown that, on this example, the Exp-function method is easy to implement and concise method for nonlinear evolution equations in mathematical physics.

[1]  R. Fisher THE WAVE OF ADVANCE OF ADVANTAGEOUS GENES , 1937 .

[2]  A. A. Soliman,et al.  New application of Exp-function method for improved Boussinesq equation , 2007 .

[3]  Abdul-Majid Wazwaz,et al.  An analytic study of Fisher's equation by using Adomian decomposition method , 2004, Appl. Math. Comput..

[4]  Ryogo Hirota,et al.  Exact Solution of the Modified Korteweg-de Vries Equation for Multiple Collisions of Solitons , 1972 .

[5]  Vladimir E. Zakharov,et al.  The Inverse Scattering Method , 1980 .

[6]  Abdelhalim Ebaid,et al.  Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method , 2007 .

[7]  Sheng Zhang,et al.  Application of Exp-function method to a KdV equation with variable coefficients , 2007 .

[8]  Fei Xu,et al.  Application of Exp-function method to Symmetric Regularized Long Wave (SRLW) equation , 2008 .

[9]  S D Zhu,et al.  Exp-function Method for the Hybrid-Lattice System , 2007 .

[10]  Sheng Zhang,et al.  Exact solutions of a KdV equation with variable coefficients via Exp-function method , 2008 .

[11]  Sheng Zhang,et al.  Exp-function method for solving Maccari's system , 2007 .

[12]  Ahmet Boz,et al.  Exact Solutions for a Class of Nonlinear Partial Differential Equations using Exp-Function Method , 2007 .

[13]  A. Molabahrami,et al.  A reliable treatment for nonlinear Schrödinger equations , 2007 .

[14]  Ji-Huan He,et al.  Exp-function method for nonlinear wave equations , 2006 .

[15]  Ji-Huan He,et al.  Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method , 2007, Comput. Math. Appl..

[16]  Shun-dong Zhu,et al.  Discrete (2 + 1)-dimensional Toda lattice equation via Exp-function method , 2008 .

[17]  M. A. Abdou,et al.  NEW PERIODIC SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS USING EXP-FUNCTION METHOD , 2007 .

[18]  M. A. Abdou,et al.  Application of Exp-function method for nonlinear evolution equations with variable coefficients , 2007 .

[19]  Halil Özer Application of the Variational Iteration Method to the Boundary Value Problems with Jump Discontinuities arising in Solid Mechanics , 2007 .

[20]  S. Liao,et al.  Explicit series solution of travelling waves with a front of Fisher equation , 2007 .

[21]  Ji-Huan He,et al.  Generalized solitary solution and compacton-like solution of the Jaulent–Miodek equations using the Exp-function method , 2008 .

[22]  Sheng Zhang,et al.  Application of Exp-function method to Riccati equation and new exact solutions with three arbitrary functions of Broer–Kaup–Kupershmidt equations , 2008 .

[23]  Nikolai A. Kudryashov,et al.  Exact solitary waves of the Fisher equation , 2005 .

[24]  Elçin Yusufoğlu New solitonary solutions for the MBBM equations using Exp-function method , 2008 .

[25]  S D Zhu,et al.  Exp-function Method for the Discrete mKdV Lattice , 2007 .