Exact solitary wave solutions to the generalized Fisher equation


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

Optik, vol.127, no.24, pp.12085-12092, 2016 (Journal Indexed in SCI Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 127 Issue: 24
  • Publication Date: 2016
  • Doi Number: 10.1016/j.ijleo.2016.09.116
  • Title of Journal : Optik
  • Page Numbers: pp.12085-12092
  • Keywords: Solitons, Generalized Fisher equation, tan(phi(xi/2)-Expansion method, Generalized Kudryashov method, Extended G'/G-expansion method

Abstract

© 2016 Elsevier GmbHThe 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(ϕ(ξ)/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.