Symmetries, periodic plane waves and blow-up of \(\lambda-\omega\) systems
type: Item
instance of: scholarly article
title: Symmetries, periodic plane waves and blow-up of \(\lambda-\omega\) systems
zbMATH Open document ID: 0963.35085
DOI: 10.1016/S0167-2789(00)00161-5
author: Yanyan Li
published in: Physica D
publication date: 2001-06-19T00:00:00Z
review text: The paper studies nonclassical symmetries of one-dimensional reaction-diffusion systems of \(\lambda-\omega\) type. Functional forms of \(\lambda\) and \(\omega\) have been determined for which the system admits nonclassical symmetries. Among the obtained several classes of exact solutions, asymptotically periodic plane waves appear as similarity solutions of the \(\lambda-\omega\) systems. A family of solutions have been also obtained which exhibit blow-up processes.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1569397
zbMATH Keywords: \(\lambda-\omega\) systems
zbMATH Keywords: nonclassical symmetries
zbMATH Keywords: periodic plane waves
zbMATH Keywords: blow-up
reviewed by: Lubomira Softova
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1569397