Symmetry analysis of an integrable reaction-diffusion equation
type: Item
instance of: scholarly article
title: Symmetry analysis of an integrable reaction-diffusion equation
zbMATH Open document ID: 1015.35006
DOI: 10.1016/S0960-0779(99)00200-3
published in: Chaos, Solitons and Fractals
publication date: 2003-04-28T00:00:00Z
review text: Based on Painlevé and Lie symmetry analysis the authors give a systematic investigation of the invariance and integrability properties of a two-component reaction-diffusion system \[ u_t-u_{xx}+2 u^2 v-2ku=0,\quad v_t+v_{xx}-2 u v^2+2kv=0. \] This allows to obtain similarity reductions and to derive a rich variety of new particular solutions.
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 1901662
zbMATH Keywords: two component reaction-diffusion system
zbMATH Keywords: Painlevé analysis
zbMATH Keywords: Lie symmetry analysis
zbMATH Keywords: integrability properties
zbMATH Keywords: similarity reduction
zbMATH Keywords: particular solutions
author: Roberto A. Kraenkel
author: M. Senthilvelan
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
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full work available at URL: s0960-0779(99)00200-3
OpenAlex ID: W2073484365
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description: scientific article; zbMATH DE number 1901662