Exact solution for the generalized Telegraph Fisher's equation

Abstract In this paper, we applied the factorization scheme for the generalized Telegraph Fisher’s equation and an exact particular solution has been found. The exact particular solution for the generalized Fisher’s equation was obtained as a particular case of the generalized Telegraph Fisher’s equation and the two-parameter solution can be obtained when n = 2 .

[1]  Elsayed Ahmed,et al.  ON MODIFIED BLACK–SCHOLES EQUATION , 2004 .

[2]  T. E. Hull,et al.  The factorization method , 1951 .

[3]  H. A. Abdusalam,et al.  Cross-diffusional effect in a telegraph reaction diffusion Lotka-Volterra two competitive system , 2003 .

[4]  A. Compte,et al.  The generalized Cattaneo equation for the description of anomalous transport processes , 1997 .

[5]  H. Rosu,et al.  Traveling-Wave Solutions for Korteweg–de Vries–Burgers Equations through Factorizations , 2006, math-ph/0604004.

[6]  G. Ord.  Fractal space-time and the statistical mechanics of random walks , 1996 .

[7]  H. A. Abdusalam.  Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation , 2004, Appl. Math. Comput..

[8]  B. Mielnik.  Factorization method and new potentials with the oscillator spectrum , 1984 .

[9]  G. Ord.  The Schrödinger and diffusion propagators coexisting on a lattice , 1996 .

[10]  D. Zwillinger.  Handbook of differential equations , 1990 .

[11]  E. S. Fahmy,et al.  Travelling wave solutions for some time-delayed equations through factorizations , 2008 .

[12]  H. A. Abdusalam,et al.  TRAVELING WAVE SOLUTIONS FOR NONLINEAR WAVE EQUATION WITH DISSIPATION AND NONLINEAR TRANSPORT TERM THROUGH FACTORIZATIONS , 2007 .

[13]  I. Prigogine,et al.  Quantum mechanics, diffusion and chaotic fractals , 1995 .

[14]  Asymptotic solution of wave front of the telegraph model of dispersive variability , 2006 .

[15]  G. Lebon,et al.  Extended irreversible thermodynamics , 1993 .

[16]  X. Y. Wang,et al.  Exact and explicit solitary wave solutions for the generalised fisher equation , 1988 .

[17]  G. Ord.  The Schrödinger and Dirac Free Particle Equations without Quantum Mechanics , 1996 .

[18]  H C Rosu,et al.  Supersymmetric pairing of kinks for polynomial nonlinearities. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Elsayed Ahmed,et al.  On Diffusion in Some Biological and Economic Systems , 2000 .

[20]  H. A. Abdusalam,et al.  ON TELEGRAPH REACTION DIFFUSION AND COUPLED MAP LATTICE IN SOME BIOLOGICAL SYSTEMS , 2001 .

[21]  G. Ord.  Classical particles and the Dirac equation with an electromagnetic field , 1997 .

[22]  Franco Selleri,et al.  Frontiers of Fundamental Physics , 1984 .

[23]  O. Cornejo-Perez,et al.  Nonlinear Second Order Ode's: Factorizations and Particular Solutions , 2005 .