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On the Exact Traveling Wave Solutions of a Hyperbolic Reaction-Diffusion Equation

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Advanced Computing in Industrial Mathematics (BGSIAM 2017)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 793))

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Abstract

We discuss a class of hyperbolic reaction-diffusion equations and apply the modified method of simplest equation in order to obtain an exact solution of an equation of this class (namely the equation that contains polynomial nonlinearity of fourth order). We use the equation of Bernoulli as a simplest equation and obtain traveling wave solution of a kink kind for the studied nonlinear reaction-diffusion equation.

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Acknowledgements

This study contains results, which are supported by the UNWE project for scientific research with grant agreement No. NID NI – 21/2016

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Authors and Affiliations

  1. Institute of Mechanics, Bulgarian Academy of Sciences, University of National and World Economy, Sofia, Bulgaria

    Ivan P. Jordanov

  2. Institute of Mechanics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Nikolay K. Vitanov

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  1. Ivan P. Jordanov
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  2. Nikolay K. Vitanov
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Correspondence to Nikolay K. Vitanov .

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Editors and Affiliations

  1. Institute of Information and Communication Technology, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir Georgiev

  2. Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Sofia, Bulgaria

    Michail Todorov

  3. Institute of Mathematics and Informatics and Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Georgiev

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Jordanov, I.P., Vitanov, N.K. (2019). On the Exact Traveling Wave Solutions of a Hyperbolic Reaction-Diffusion Equation. In: Georgiev, K., Todorov, M., Georgiev, I. (eds) Advanced Computing in Industrial Mathematics. BGSIAM 2017. Studies in Computational Intelligence, vol 793. Springer, Cham. https://doi.org/10.1007/978-3-319-97277-0_16

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