Exact analytical solutions for nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation
Department of Physics and Astronomy, University of New Mexico, 800 Yale Blvd, Albuquerque, NM, 87131, USA
2 Physics Faculty, Moscow State University, Vorob'evy Gory, 119992 Moscow, Russia
Corresponding author: a firstname.lastname@example.org
Revised: 31 October 2010
Published online: 10 December 2010
Exact analytical solutions of the reaction-diffusion equations with spatial inhomogeneous reaction and diffusion coefficients are found. It is shown that the space-oscillating approximate solution of a traveling wave type [P.K. Brazhnik, J.J. Tyson, SIAM J. Appl. Math. 60, 371 (1999)] is the exact one for the inhomogeneous Fisher-Kolmogorov equation in two dimensions.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010