ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

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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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover
  • ISSN: 1303-5991
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1948
  • Yayıncı: Ankara Üniversitesi
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