The Exact Traveling Wave Solutions of a KPP Equation

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 wave’s speed. Additionally we obtain the exact analytical traveling wave solutions of the generalized Burgers–Huxley equation.

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Publication Details

Journal
Symmetry
Published
2024-12-06
DOI
https://doi.org/10.3390/sym16121621
Citations
1
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.28
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article

The Exact Traveling Wave Solutions of a KPP Equation

E. Kogan
1 citations
Symmetry
Nonlinear Waves and Solitons
0.28
article

The Exact Traveling Wave Solutions of a KPP Equation

E. Kogan
article en
1 citations

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 wave’s speed. Additionally we obtain the exact analytical traveling wave solutions of the generalized Burgers–Huxley equation.

SymmetryVol. 16(12)
Bar-Ilan University (IL)
Openalex Percentile: Top 42%
Nonlinear Waves and Solitons
0.28
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