Exact analytical solutions for nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation

E. P. Zemskov () and A. Loskutov

The European Physical Journal B: Condensed Matter and Complex Systems, 2011, vol. 79, issue 1, 79-84

Abstract: 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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Date: 2011
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DOI: 10.1140/epjb/e2010-90983-8

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