ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

Unal, ARZU

doi:10.1501/commua1_0000000681

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)

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.