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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 62 Issue: 1

ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

Arzu Ögün Ünal(Ankara University, Faculty of Sciences, Dept. of Mathe- º matics, Ankara, TURKEY)
Pages
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Publication Date
2013-02-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, we obtain some exact traveling wave solutions of KPP equation by the first integral method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We prove existence and uniqueness of the solutions of Kolmogorov Petrovskii-Piskunov (KPP) equation.
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Key Findings & Data:We study asymptotic stability and instability of the equilibrium solution u(x; t) = 0 of KPP equation with subject to the traveling wave solutions.
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Conclusion & Impact:Also, we obtain some exact traveling wave solutions of KPP equation by the first integral method.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Existence and uniqueness of solutions · asymptotic stability · instability

Abstract

We prove existence and uniqueness of the solutions of Kolmogorov Petrovskii-Piskunov (KPP) equation. We study asymptotic stability and instability of the equilibrium solution u(x; t) = 0 of KPP equation with subject to the traveling wave solutions. We show that KPP equation has not got any periodic traveling wave solution. Also, we obtain some exact traveling wave solutions of KPP equation by the first integral method.

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Cite This Article

Ünal, A. Ö. (2013). ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 62 Issue: 1. https://doi.org/10.1501/Commua1_0000000681

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