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Traveling wave behavior for a generalized fisher equation

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  • Feng, Zhaosheng

Abstract

There is the widespread existence of wave phenomena in physics, chemistry and biology. This clearly necessitates a study of traveling waves in depth and of the modeling and analysis involved. In the present paper, we study a nonlinear reaction-diffusion equation, which can be regarded as a generalized Fisher equation. Applying the Cole–Hopf transformation and the first integral method, we obtain a class of traveling solitary wave solutions for this generalized Fisher equation.

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  • Feng, Zhaosheng, 2008. "Traveling wave behavior for a generalized fisher equation," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 481-488.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:2:p:481-488
    DOI: 10.1016/j.chaos.2006.11.031
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    Cited by:

    1. Oraby, T. & Suazo, E. & Arrubla, H., 2023. "Probabilistic solutions of fractional differential and partial differential equations and their Monte Carlo simulations," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Pereira, Enrique & Suazo, Erwin & Trespalacios, Jessica, 2018. "Riccati–Ermakov systems and explicit solutions for variable coefficient reaction–diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 278-296.
    3. Wu, Shi-Liang & Li, Wan-Tong, 2009. "Global asymptotic stability of bistable traveling fronts in reaction-diffusion systems and their applications to biological models," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1229-1239.

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