Exact solitary wave solutions to the generalized Fisher equation

Zhou, Qin; Ekici, MEHMET; Sonmezoglu, ABDULLAH; Manafian, J.; Khaleghizadeh, S.; Mirzazadeh, M.

doi:10.1016/j.ijleo.2016.09.116

Exact solitary wave solutions to the generalized Fisher equation

Zhou Q., Ekici M., Sonmezoglu A., Manafian J., Khaleghizadeh S., Mirzazadeh M.

OPTIK, cilt.127, sa.24, ss.12085-12092, 2016 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 127 Sayı: 24
Basım Tarihi: 2016
Doi Numarası: 10.1016/j.ijleo.2016.09.116
Dergi Adı: OPTIK
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.12085-12092
Anahtar Kelimeler: Solitons, Generalized Fisher equation, tan(phi(xi/2)-Expansion method, Generalized Kudryashov method, Extended G'/G-expansion method
Yozgat Bozok Üniversitesi Adresli: Evet

Özet

The well known Fisher equation, describing the process of interaction between diffusion and reaction, has been studied. We presented an analytical study on the exact solitary wave solutions to the generalized Fisher equation. With three integration ways, i.e. the improved tan(phi(xi/2)-expansion method, the generalized Kudryashov method and the extended G'/G-expansion method, we obtained the bright-like, dark-like and singular-like soliton solutions. (C) 2016 Elsevier GmbH. All rights reserved.