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The exact travelling wave solutions of a KPP equation

Populations and Evolution 2025-01-09 v8 Mathematical Physics math.MP Exactly Solvable and Integrable Systems Biological Physics

Abstract

We obtain the exact analytical traveling wave solutions of the Kolmogorov-Petrovskii-Piskunov equation with the reaction term belonging to the class of functions, which includes that of the (generalized) Fisher equation, for the particular values of the waves speed. Additionally we obtain the the exact analytical traveling wave solutions of the generalized Burgers-Huxley equation.

Keywords

Cite

@article{arxiv.2410.12873,
  title  = {The exact travelling wave solutions of a KPP equation},
  author = {Eugene Kogan},
  journal= {arXiv preprint arXiv:2410.12873},
  year   = {2025}
}

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