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

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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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Authors and Affiliations

  1. Department of Physics and Astronomy, University of New Mexico, 800 Yale Blvd, Albuquerque, NM, 87131, USA

    E. P. Zemskov

  2. Physics Faculty, Moscow State University, Vorob’evy Gory, 119992, Moscow, Russia

    A. Loskutov

Authors
  1. E. P. Zemskov
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  2. A. Loskutov
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Correspondence to E. P. Zemskov.

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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

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