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Traveling wave patterns in nonlinear reaction–diffusion equations

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Abstract

In this paper we study a reaction–diffusion model equation with general nonlinear diffusion and arbitrary kinetic orders in the reaction terms, which appears in the applied biochemical modeling. We carry both analytical and numerical studies of the model equation to show the existence of monotone and oscillatory waves. Our numerical computations are illustrated for a particular case of the equation by using different methods which lead to accurate wave profiles and confirm the analytical results.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science at Qena, South Valley University, Qena, Egypt

    M. B. A. Mansour

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  1. M. B. A. Mansour
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Correspondence to M. B. A. Mansour.

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Mansour, M.B.A. Traveling wave patterns in nonlinear reaction–diffusion equations. J Math Chem 48, 558–565 (2010). https://doi.org/10.1007/s10910-010-9691-5

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  • DOI: https://doi.org/10.1007/s10910-010-9691-5

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