Exact solitary waves of the Fisher equation

New method is presented to search exact solutions of nonlinear differential equations. This approach is used to look for exact solutions of the Fisher equation. New exact solitary waves of the Fisher equation are given.

[1]  E. Fan,et al.  Extended tanh-function method and its applications to nonlinear equations , 2000 .

[2]  A. Porubov Exact travelling wave solutions of nonlinear evolution equation of surface waves in a convecting fluid , 1993 .

[3]  N. Kudryashov,et al.  EXACT SOLITON SOLUTIONS OF THE GENERALIZED EVOLUTION EQUATION OF WAVE DYNAMICS , 1988 .

[4]  Zuntao Fu,et al.  JACOBI ELLIPTIC FUNCTION EXPANSION METHOD AND PERIODIC WAVE SOLUTIONS OF NONLINEAR WAVE EQUATIONS , 2001 .

[5]  M. Tabor,et al.  The Painlevé property for partial differential equations , 1983 .

[6]  C. S. Gardner,et al.  Method for solving the Korteweg-deVries equation , 1967 .

[7]  Zhenya Yan New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations , 2001 .

[8]  Sen-Yue Lou,et al.  Exact solitary waves in a convecting fluid , 1991 .

[9]  M. Ablowitz,et al.  Nonlinear-evolution equations of physical significance , 1973 .

[10]  R. Conte,et al.  Painleve analysis and Backlund transformation in the Kuramoto-Sivashinsky equation , 1989 .

[11]  S. R. Choudhury,et al.  Painlevé analysis and special solutions of two families of reaction—diffusion equations , 1991 .

[12]  Mark J. Ablowitz,et al.  Explicit solutions of Fisher's equation for a special wave speed , 1979 .

[13]  R. Hirota Exact solution of the Korteweg-deVries equation for multiple collision of solitons , 1971 .

[14]  Nikolai A. Kudryashov,et al.  Exact solutions of the generalized Kuramoto-Sivashinsky equation , 1990 .

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