4.5 Article

Exact solitary wave solutions to the generalized Fisher equation

Journal

OPTIK
Volume 127, Issue 24, Pages 12085-12092

Publisher

ELSEVIER GMBH, URBAN & FISCHER VERLAG
DOI: 10.1016/j.ijleo.2016.09.116

Keywords

Solitons; Generalized Fisher equation; tan(phi(xi/2)-Expansion method; Generalized Kudryashov method; Extended G'/G-expansion method

Categories

Funding

  1. Program for Outstanding Young and Middle-aged Scientific and Technological Innovation Team of the Higher Education Institutions of Hubei Province of China [T201525]

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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.

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