A note about the general meromorphic solutions of the Fisher equation
type: Item
instance of: scholarly article
title: A note about the general meromorphic solutions of the Fisher equation
zbMATH Open document ID: 1407.35117
DOI: 10.1155/2014/793834
author: Qiuhui Chen
author: Weiling Xiong
author: Jianming Qi
author: Wenjun Yuan
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We employ the complex method to obtain the general meromorphic solutions of the Fisher equation, which improves the corresponding results obtained by \textit{M. J. Ablowitz} and \textit{A. Zeppetella} [Bull. Math. Biol. 41, 835--840 (1979; Zbl 0423.35079)] and other authors [\textit{Z. Feng} and \textit{Y. Li}, ``Complex traveling wave solutions to the Fisher equation'', Phys. A 366, 115--123 (2006; \url{doi:10.1016/j.physa.2005.10.058}); \textit{B. Guo} and \textit{Z. Chen}, J. Phys. A, Math. Gen. 24, No. 3, 645--650 (1991; Zbl 0759.35026)], and \(w_{g, i}(z)\) are new general meromorphic solutions of the Fisher equation for \(c = \pm 5 i / \sqrt{6} .\) Our results show that the complex method provides a powerful mathematical tool for solving great many nonlinear partial differential equations in mathematical physics.
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 7017275
Wikidata QID: Q59072241
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/793834
OpenAlex ID: W2070688200
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description: scientific article; zbMATH DE number 7017275