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The European Physical Journal B

, Volume 79, Issue 1, pp 79–84 | Cite as

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

  • E. P. ZemskovEmail author
  • A. Loskutov
Article

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.

Keywords

Wave Solution Nonlinear Wave Excitable Medium Exact Analytical Solution Kink Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUniversity of New MexicoAlbuquerqueUSA
  2. 2.Physics Faculty, Moscow State UniversityMoscowRussia

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