ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.62, sa.1, ss.1-10, 2013 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 62 Sayı: 1
- Basım Tarihi: 2013
- Doi Numarası: 10.1501/commua1_0000000681
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1-10
- Anahtar Kelimeler: Existence and uniqueness of solutions, asymptotic stability, instability, periodicity, traveling wave solutions, first integral method
- Ankara Üniversitesi Adresli: Evet
Özet
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) (math) 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.