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Traveling-wave solution of non-linear coupled reaction diffusion equation arising in mathematical chemistry

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Abstract

A simple analytical approach to find the traveling-wave solution for a set of two coupled non-linear reaction diffusion equations is reported. An exact analytical solution for traveling-waves of the Fisher equations with a general non-linearity is found. The boundary value, the boundedness and the stability of the solution are discussed. This technique is straight forward to use involving minimal algebra. Use of the method for selected case is demonstrated.

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  1. Department of Mathematics, Madura College, Madurai, 625011, TN, India

    L. Rajendran & R. Senthamarai

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  1. L. Rajendran
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  2. R. Senthamarai
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Correspondence to L. Rajendran.

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Rajendran, L., Senthamarai, R. Traveling-wave solution of non-linear coupled reaction diffusion equation arising in mathematical chemistry. J Math Chem 46, 550–561 (2009). https://doi.org/10.1007/s10910-008-9479-z

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  • DOI: https://doi.org/10.1007/s10910-008-9479-z

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