Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2013 / Cilt: 62 - Sayı: 1
ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 1–10
- DOI
- —
Abstract
Abstract. WeproveexistenceanduniquenessofthesolutionsofKolmogorov- Petrovskii-Piskunov (KPP) equation. We study asymptotic stability and in- stability ofthe equilibrium solution u(x;t)?0of 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 solutionsof KPP equation by the Örst integralmethod.