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.
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Zemskov, E., Loskutov, A. Exact analytical solutions for nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation. Eur. Phys. J. B 79, 79–84 (2011). https://doi.org/10.1140/epjb/e2010-90983-8
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DOI: https://doi.org/10.1140/epjb/e2010-90983-8