ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

Arzu ÖGÜN ÜNAL

doi:https://doi.org/10.1501/Commua1_0000000681

Article Details

ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

Authors:

Arzu ÖGÜN ÜNAL

Publisher:

Ankara University

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2013 Vol.62 Issue 1, pp.1-10

Document Type:

Article

Publication Date:

1/2013

Document Language:

English

Document ID (Org No.):

2000909910

Frequency:

Quarterly

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000681

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.

Article Details

ON THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

Authors: Arzu ÖGÜN ÜNAL

Publisher: Ankara University

Journal: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2013 Vol.62 Issue 1, pp.1-10

Document Type: Article

Publication Date: 1/2013

Document Language: English

Document ID (Org No.): 2000909910

Frequency: Quarterly

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.1501/Commua1_0000000681

Issues

Authors:

Arzu ÖGÜN ÜNAL

Publisher:

Ankara University

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2013 Vol.62 Issue 1, pp.1-10

Document Type:

Article

Publication Date:

1/2013

Document Language:

English

Document ID (Org No.):

2000909910

Frequency:

Quarterly

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000681