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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2013 / Cilt: 62 - Sayı: 1

ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

Arzu ÖGÜN ÜNAL
Sayfa
1–10
Yayın Tarihi
2013-02-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We prove existence and uniqueness of the solutions of Kolmogorov Petrovskii-Piskunov (KPP) equation.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Also, we obtain some exact traveling wave solutions of KPP equation by the first integral method.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

ÜNAL, A. Ö. (2013). ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 62 - Sayı: 1, 1–10. https://ajindex.com/articles/747399

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Kaynakça (16)

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