Exact solitary wave solutions of the generalized Fisher equation
type: Item
instance of: scholarly article
title: Exact solitary wave solutions of the generalized Fisher equation
zbMATH Open document ID: 0704.35130
author: Xinyi Wang
published in: Chinese Science Bulletin
publication date: 1989-01-01T00:00:00Z
review text: By using the transformations \(u=v^{2/\alpha}\), \(dv/d\xi =av(1-v)\), \(\xi =x-ct\), the paper gives the exact solitary wave solution of the generalized Fisher equation \[ u_ t-u_{xx}=u-u^{\alpha +1},\quad \alpha \in (0,\infty). \] Two other applications of the above transformations are also mentioned.
Mathematics Subject Classification ID: 35Q80
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 4155076
zbMATH Keywords: exact solitary wave solution
zbMATH Keywords: generalized Fisher equation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4155076