Representation of general invariants for approximate transformation groups
type: Item
instance of: scholarly article
title: Representation of general invariants for approximate transformation groups
zbMATH Open document ID: 0892.35006
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-07-14T00:00:00Z
review text: This research continues that of \textit{V. A. Baikov, R. K. Gazizov}, and \textit{N. H. Ibragimov} [Mat. Sb. 136, No. 4, 435-450 (1988; Zbl 0683.35004) and Proc. Steklov Inst. Math. 200, 35-47 (1993; Zbl 0813.58061)]. Studied are approximate equations and their approximate solutions. The pivotal examples are linear first-order approximate equations describing invariants of approximate symmetry groups of PDEs. Results give answer to the question of how many independent approximate invariants exist, and what are their natural representatives.
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 1117624
zbMATH Keywords: approximate symmetries
zbMATH Keywords: approximate equations
zbMATH Keywords: approximate invariants
author: R. K. Gazizov
reviewed by: Michal Marvan
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5525
OpenAlex ID: W1977354718
cites work: APPROXIMATE SYMMETRIES
cites work: Q4313161
DOI: 10.1006/JMAA.1997.5525
description: scientific article; zbMATH DE number 1117624