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) identifier identifier

  • 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.